diff --git a/packages/reactivity/__tests__/collections/Set.spec.ts b/packages/reactivity/__tests__/collections/Set.spec.ts
index 2aeef198256..e4333e3db38 100644
--- a/packages/reactivity/__tests__/collections/Set.spec.ts
+++ b/packages/reactivity/__tests__/collections/Set.spec.ts
@@ -459,5 +459,139 @@ describe('reactivity/collections', () => {
       const result = set.add('a')
       expect(result).toBe(set)
     })
+
+    it('should suppoort Set.difference call', () => {
+      const setA = reactive(new Set([1, 2, 3, 4]))
+      const setB = new Set([3, 4, 5, 6])
+
+      if ('difference' in Set.prototype) {
+        // @ts-expect-error
+        const result = setA.difference(setB)
+
+        expect(result).toBeInstanceOf(Set)
+        expect(result.size).toBe(2)
+        expect(result.has(1)).toBe(true)
+        expect(result.has(2)).toBe(true)
+      }
+    })
+
+    it('should suppoort Set.intersection call', () => {
+      const setA = reactive(new Set([1, 2, 3, 4]))
+      const setB = new Set([3, 4, 5, 6])
+
+      if ('intersection' in Set.prototype) {
+        // @ts-expect-error
+        const result = setA.intersection(setB)
+
+        expect(result).toBeInstanceOf(Set)
+        expect(result.size).toBe(2)
+        expect(result.has(3)).toBe(true)
+        expect(result.has(4)).toBe(true)
+      }
+    })
+
+    it('should suppoort Set.symmetricDifference call', () => {
+      const setA = reactive(new Set([1, 2, 3, 4]))
+      const setB = new Set([3, 4, 5, 6])
+
+      if ('symmetricDifference' in Set.prototype) {
+        // @ts-expect-error
+        const result = setA.symmetricDifference(setB)
+
+        expect(result).toBeInstanceOf(Set)
+        expect(result.size).toBe(4)
+        expect(result.has(1)).toBe(true)
+        expect(result.has(2)).toBe(true)
+        expect(result.has(5)).toBe(true)
+        expect(result.has(6)).toBe(true)
+      }
+    })
+
+    it('should suppoort Set.union call', () => {
+      const setA = reactive(new Set([1, 2, 3, 4]))
+      const setB = new Set([3, 4, 5, 6])
+
+      if ('union' in Set.prototype) {
+        // @ts-expect-error
+        const result = setA.union(setB)
+
+        expect(result).toBeInstanceOf(Set)
+        expect(result.size).toBe(6)
+        expect(result.has(1)).toBe(true)
+        expect(result.has(2)).toBe(true)
+        expect(result.has(3)).toBe(true)
+        expect(result.has(4)).toBe(true)
+        expect(result.has(5)).toBe(true)
+        expect(result.has(6)).toBe(true)
+      }
+    })
+
+    it('should suppoort Set.isDisjointFrom call', () => {
+      const setA = reactive(new Set([1, 2, 3, 4]))
+      const setB = new Set([3, 4, 5, 6])
+
+      if ('isDisjointFrom' in Set.prototype) {
+        // @ts-expect-error
+        const result = setA.isDisjointFrom(setB)
+
+        expect(result).toBe(false)
+      }
+    })
+
+    it('should suppoort Set.isSubsetOf call', () => {
+      const setA = reactive(new Set([1, 2, 3, 4]))
+      const setB = new Set([3, 4, 5, 6])
+
+      if ('isSubsetOf' in Set.prototype) {
+        // @ts-expect-error
+        const result = setA.isSubsetOf(setB)
+
+        expect(result).toBe(false)
+      }
+    })
+
+    it('should suppoort Set.isSupersetOf call', () => {
+      const setA = reactive(new Set([1, 2, 3, 4]))
+      const setB = new Set([3, 4, 5, 6])
+
+      if ('isSupersetOf' in Set.prototype) {
+        // @ts-expect-error
+        const result = setA.isSupersetOf(setB)
+
+        expect(result).toBe(false)
+      }
+    })
+
+    it('should observe this set or other setlike when calling composition method', () => {
+      let dummy: any
+      const e1 = { val: 1 }
+      const e2 = { val: 2 }
+      const e3 = { val: 3 }
+      const e4 = { val: 4 }
+
+      const setA = reactive(new Set([e1, e2]))
+      const setB = reactive(new Set([e3, e4]))
+
+      if ('intersection' in Set.prototype) {
+        effect(() => {
+          // @ts-expect-error
+          dummy = setA.intersection(setB)
+        })
+
+        expect(dummy.size).toBe(0)
+
+        setB.add(e1)
+        expect(dummy.size).toBe(1)
+
+        setB.add(e2)
+        expect(dummy.size).toBe(2)
+
+        setA.delete(e1)
+        expect(dummy.size).toBe(1)
+
+        setA.clear()
+        expect(dummy.size).toBe(0)
+      }
+    })
   })
 })
diff --git a/packages/reactivity/src/collectionHandlers.ts b/packages/reactivity/src/collectionHandlers.ts
index ffc3289f2ed..40fbeb9ea96 100644
--- a/packages/reactivity/src/collectionHandlers.ts
+++ b/packages/reactivity/src/collectionHandlers.ts
@@ -24,6 +24,8 @@ type IterableCollections = (Map<any, any> | Set<any>) & Target
 type WeakCollections = (WeakMap<any, any> | WeakSet<any>) & Target
 type MapTypes = (Map<any, any> | WeakMap<any, any>) & Target
 type SetTypes = (Set<any> | WeakSet<any>) & Target
+type SetType = Set<any> & Target
+type SetLikeType = Pick<Set<any>, 'size' | 'has' | 'keys'>
 
 const toShallow = <T extends unknown>(value: T): T => value
 
@@ -91,6 +93,18 @@ function createReadonlyMethod(type: TriggerOpTypes): Function {
   }
 }
 
+function createSetCompositionMethod(method: string, readonly: boolean) {
+  return function (this: SetType, other: SetLikeType) {
+    const target = this[ReactiveFlags.RAW]
+    const rawTarget = toRaw(target)
+
+    if (!readonly) {
+      track(rawTarget, TrackOpTypes.ITERATE, ITERATE_KEY)
+    }
+    return rawTarget[method](other)
+  }
+}
+
 type Instrumentations = Record<string | symbol, Function | number>
 
 function createInstrumentations(
@@ -246,6 +260,20 @@ function createInstrumentations(
         },
   )
 
+  extend(instrumentations, {
+    difference: createSetCompositionMethod('difference', readonly),
+    intersection: createSetCompositionMethod('intersection', readonly),
+    symmetricDifference: createSetCompositionMethod(
+      'symmetricDifference',
+      readonly,
+    ),
+    union: createSetCompositionMethod('union', readonly),
+
+    isDisjointFrom: createSetCompositionMethod('isDisjointFrom', readonly),
+    isSubsetOf: createSetCompositionMethod('isSubsetOf', readonly),
+    isSupersetOf: createSetCompositionMethod('isSupersetOf', readonly),
+  })
+
   const iteratorMethods = [
     'keys',
     'values',