diff --git a/packages/zod-nestjs/src/lib/create-zod-dto.spec.ts b/packages/zod-nestjs/src/lib/create-zod-dto.spec.ts
index 3d2d2bb..9eb4961 100644
--- a/packages/zod-nestjs/src/lib/create-zod-dto.spec.ts
+++ b/packages/zod-nestjs/src/lib/create-zod-dto.spec.ts
@@ -2,6 +2,8 @@ import * as z from 'zod';
 import { ZodError } from 'zod';
 
 import { createZodDto } from './create-zod-dto';
+import { SchemaObject as SchemaObject30 } from 'openapi3-ts/oas30';
+import { OpenApiZodAny } from '@anatine/zod-openapi';
 
 describe('zod-nesjs create-zod-dto', () => {
   const testDtoSchema = z.object({
@@ -31,42 +33,91 @@ describe('zod-nesjs create-zod-dto', () => {
   });
 
   it('should merge a discriminated union types for class', () => {
-    enum Kind { A, B };
-    const discriminatedSchema = z
-      .discriminatedUnion('kind', [
-        z.object({
-          kind: z.literal(Kind.A),
-          value: z.number()
-        }),
-        z.object({
-          kind: z.literal(Kind.B),
-          value: z.string()
-        })
-      ]);
+    enum Kind {
+      A,
+      B,
+    }
+    const discriminatedSchema = z.discriminatedUnion('kind', [
+      z.object({
+        kind: z.literal(Kind.A),
+        value: z.number(),
+      }),
+      z.object({
+        kind: z.literal(Kind.B),
+        value: z.string(),
+      }),
+    ]);
 
     class TestDto extends createZodDto(discriminatedSchema) {}
 
-    const result = TestDto.create({kind: Kind.A, value: 1})
+    const result = TestDto.create({ kind: Kind.A, value: 1 });
     expect(result).toEqual({ kind: Kind.A, value: 1 });
   });
 
   it('should merge the union types for class', () => {
-    enum Kind { A, B };
-    const unionSchema = z
-      .union([
-        z.object({
-          kind: z.literal(Kind.A),
-          value: z.number()
-        }),
-        z.object({
-          kind: z.literal(Kind.B),
-          value: z.string()
-        })
-      ]);
+    enum Kind {
+      A,
+      B,
+    }
+    const unionSchema = z.union([
+      z.object({
+        kind: z.literal(Kind.A),
+        value: z.number(),
+      }),
+      z.object({
+        kind: z.literal(Kind.B),
+        value: z.string(),
+      }),
+    ]);
 
     class TestDto extends createZodDto(unionSchema) {}
 
-    const result = TestDto.create({kind: Kind.B, value: 'val'})
+    const result = TestDto.create({ kind: Kind.B, value: 'val' });
     expect(result).toEqual({ kind: Kind.B, value: 'val' });
   });
+
+  it('should output OpenAPI 3.0-style nullable types', () => {
+    const schema = z.object({
+      name: z.string().nullable(),
+    });
+    const metadataFactory = getMetadataFactory(schema);
+
+    const generatedSchema = metadataFactory();
+
+    expect(generatedSchema).toBeDefined();
+    expect(generatedSchema?.name.type).toEqual('string');
+    expect(generatedSchema?.name.nullable).toBe(true);
+  });
+
+  it('should output OpenAPI 3.0-style exclusive minimum and maximum types', () => {
+    const schema = z.object({
+      inclusive: z.number().min(1).max(10),
+      exclusive: z.number().gt(1).lt(10),
+      unlimited: z.number(),
+    });
+    const metadataFactory = getMetadataFactory(schema);
+
+    const generatedSchema = metadataFactory();
+
+    expect(generatedSchema).toBeDefined();
+    expect(generatedSchema?.inclusive.minimum).toBe(1);
+    expect(generatedSchema?.inclusive.exclusiveMinimum).toBeUndefined();
+    expect(generatedSchema?.inclusive.maximum).toBe(10);
+    expect(generatedSchema?.inclusive.exclusiveMaximum).toBeUndefined();
+    expect(generatedSchema?.exclusive.minimum).toBe(1);
+    expect(generatedSchema?.exclusive.exclusiveMinimum).toBe(true);
+    expect(generatedSchema?.exclusive.maximum).toBe(10);
+    expect(generatedSchema?.exclusive.exclusiveMaximum).toBe(true);
+    expect(generatedSchema?.unlimited.minimum).toBeUndefined();
+    expect(generatedSchema?.unlimited.exclusiveMinimum).toBeUndefined();
+    expect(generatedSchema?.unlimited.maximum).toBeUndefined();
+    expect(generatedSchema?.unlimited.exclusiveMaximum).toBeUndefined();
+  });
 });
+
+function getMetadataFactory(zodRef: OpenApiZodAny) {
+  const schemaHolderClass = createZodDto(zodRef) as unknown as {
+    _OPENAPI_METADATA_FACTORY: () => Record<string, SchemaObject30> | undefined;
+  };
+  return schemaHolderClass._OPENAPI_METADATA_FACTORY;
+}
diff --git a/packages/zod-nestjs/src/lib/create-zod-dto.ts b/packages/zod-nestjs/src/lib/create-zod-dto.ts
index 91402c2..9ef0f89 100644
--- a/packages/zod-nestjs/src/lib/create-zod-dto.ts
+++ b/packages/zod-nestjs/src/lib/create-zod-dto.ts
@@ -1,4 +1,5 @@
-import type { SchemaObject } from 'openapi3-ts/oas31';
+import type { SchemaObject as SchemaObject30 } from 'openapi3-ts/oas30';
+import type { SchemaObject as SchemaObject31 } from 'openapi3-ts/oas31';
 import { generateSchema, OpenApiZodAny } from '@anatine/zod-openapi';
 import * as z from 'zod';
 
@@ -27,12 +28,26 @@ export type CompatibleZodInfer<T extends CompatibleZodType> = T['_output'];
 
 export type MergeZodSchemaOutput<T extends CompatibleZodType> =
   T extends z.ZodDiscriminatedUnion<string, infer Options>
-    ? Merge<object, TupleToUnion<{[X in keyof Options]: Options[X] extends z.ZodType ? Options[X]['_output'] : Options[X]}>>
-      : T extends z.ZodUnion<infer UnionTypes>
-        ? UnionTypes extends z.ZodType[]
-          ? Merge<object, TupleToUnion<{[X in keyof UnionTypes]: UnionTypes[X] extends z.ZodType ? UnionTypes[X]['_output'] : UnionTypes[X]}>>
-          : T['_output']
-        : T['_output'];
+    ? Merge<
+        object,
+        TupleToUnion<{
+          [X in keyof Options]: Options[X] extends z.ZodType
+            ? Options[X]['_output']
+            : Options[X];
+        }>
+      >
+    : T extends z.ZodUnion<infer UnionTypes>
+    ? UnionTypes extends z.ZodType[]
+      ? Merge<
+          object,
+          TupleToUnion<{
+            [X in keyof UnionTypes]: UnionTypes[X] extends z.ZodType
+              ? UnionTypes[X]['_output']
+              : UnionTypes[X];
+          }>
+        >
+      : T['_output']
+    : T['_output'];
 
 export type ZodDtoStatic<T extends CompatibleZodType = CompatibleZodType> = {
   new (): MergeZodSchemaOutput<T>;
@@ -41,7 +56,7 @@ export type ZodDtoStatic<T extends CompatibleZodType = CompatibleZodType> = {
 };
 
 // Used for transforming the SchemaObject in _OPENAPI_METADATA_FACTORY
-type SchemaObjectForMetadataFactory = Omit<SchemaObject, 'required'> & {
+type SchemaObjectForMetadataFactory = Omit<SchemaObject30, 'required'> & {
   required: boolean | string[];
 };
 
@@ -50,7 +65,7 @@ export const createZodDto = <T extends OpenApiZodAny>(
 ): ZodDtoStatic<T> => {
   class SchemaHolderClass {
     public static zodSchema = zodSchema;
-    schema: SchemaObject | undefined;
+    schema: SchemaObject31 | undefined;
 
     constructor() {
       this.schema = generateSchema(zodSchema);
@@ -63,7 +78,7 @@ export const createZodDto = <T extends OpenApiZodAny>(
      * https://github.com/nestjs/swagger/blob/491b168cbff3003191e55ee96e77e69d8c1deb66/lib/plugin/plugin-constants.ts
      */
     public static _OPENAPI_METADATA_FACTORY():
-      | Record<string, SchemaObject>
+      | Record<string, SchemaObject30>
       | undefined {
       const generatedSchema = generateSchema(zodSchema);
       const properties = generatedSchema.properties ?? {};
@@ -75,15 +90,41 @@ export const createZodDto = <T extends OpenApiZodAny>(
          * This logic takes the SchemaObject, and turns the required field from an
          * array to a boolean.
          */
-        const schemaObject = properties[key] as SchemaObjectForMetadataFactory;
-        const schemaObjectWithRequiredField = {
+        const schemaObject = properties[key];
+        if ('$ref' in schemaObject) {
+          continue;
+        }
+
+        const convertedSchemaObject = {
           ...schemaObject,
-        };
-        schemaObjectWithRequiredField.required = !!(generatedSchema.required !== undefined,
-          generatedSchema.required?.includes(key));
-        properties[key] = schemaObjectWithRequiredField as any; // TODO: Fix this
+        } as SchemaObjectForMetadataFactory;
+        convertedSchemaObject.required = !!(generatedSchema.required !==
+          undefined,
+        generatedSchema.required?.includes(key));
+
+        // @nestjs/swagger expects OpenAPI 3.0-style schema objects
+        // Nullable
+        if (Array.isArray(schemaObject.type)) {
+          convertedSchemaObject.type = schemaObject.type.find(
+            (t) => t !== 'null'
+          );
+          convertedSchemaObject.nullable =
+            schemaObject.type.includes('null') || undefined;
+        }
+        // Exclusive minimum and maximum
+        const { exclusiveMinimum, exclusiveMaximum } = schemaObject;
+        if (exclusiveMinimum !== undefined) {
+          convertedSchemaObject.minimum = exclusiveMinimum;
+          convertedSchemaObject.exclusiveMinimum = true;
+        }
+        if (exclusiveMaximum !== undefined) {
+          convertedSchemaObject.maximum = exclusiveMaximum;
+          convertedSchemaObject.exclusiveMaximum = true;
+        }
+
+        properties[key] = convertedSchemaObject as any; // TODO: Fix this
       }
-      return properties as Record<string, SchemaObject>;
+      return properties as Record<string, SchemaObject30>;
     }
 
     public static create(input: unknown): CompatibleZodInfer<T> {