diff --git a/gpuallocator/besteffort_policy.go b/gpuallocator/besteffort_policy.go
index 4c0f0bc..95eb48b 100644
--- a/gpuallocator/besteffort_policy.go
+++ b/gpuallocator/besteffort_policy.go
@@ -82,11 +82,14 @@ func (p *bestEffortPolicy) Allocate(available []*Device, required []*Device, siz
 	// Find the highest scoring GPU set in the highest scoring GPU partition.
 	bestSet := filteredBestPartition[0]
 	bestScore = calculateGPUSetScore(bestSet)
+	bestLeftScore := calculateGPUSetScore(getDiffSet(available, bestSet))
 	for i := 1; i < len(filteredBestPartition); i++ {
 		score := calculateGPUSetScore(filteredBestPartition[i])
-		if score > bestScore {
+		leftScore := calculateGPUSetScore(getDiffSet(available, filteredBestPartition[i]))
+		if score > bestScore || (score == bestScore && bestLeftScore < leftScore) {
 			bestSet = filteredBestPartition[i]
 			bestScore = score
+			bestLeftScore = leftScore
 		}
 	}
 
@@ -114,6 +117,17 @@ func gpuSetContainsAll(gpuSet []*Device, gpuSubset []*Device) bool {
 	return true
 }
 
+// getDiffSet return devices that gpuSet - gpuSubset
+func getDiffSet(gpuSet []*Device, gpuSubset []*Device) []*Device {
+	var rt []*Device
+	for _, gpu := range gpuSet {
+		if !gpuSetContains(gpuSubset, gpu) {
+			rt = append(rt, gpu)
+		}
+	}
+	return rt
+}
+
 // Check to see if 'gpuPartition' has at least one set containing all 'gpuSubset' devices and no padding.
 func gpuPartitionContainsSetWithAll(gpuPartition [][]*Device, gpuSubset []*Device) bool {
 	for _, gpuSet := range gpuPartition {
diff --git a/gpuallocator/besteffort_test.go b/gpuallocator/besteffort_test.go
index 24699c6..dd90641 100644
--- a/gpuallocator/besteffort_test.go
+++ b/gpuallocator/besteffort_test.go
@@ -118,6 +118,14 @@ func TestBestEffortAllocate(t *testing.T) {
 			1,
 			[]int{},
 		},
+		{
+			"Left Score Must Max",
+			New8xA10Node().Devices(),
+			[]int{0, 1, 2, 3, 4, 5},
+			[]int{},
+			2,
+			[]int{4, 5},
+		},
 	}
 
 	RunPolicyAllocTests(t, policy, tests)
diff --git a/gpuallocator/common_test.go b/gpuallocator/common_test.go
index 51c1377..ac23ac0 100644
--- a/gpuallocator/common_test.go
+++ b/gpuallocator/common_test.go
@@ -407,6 +407,54 @@ func NewDGX1VoltaNode() TestNode {
 	return node
 }
 
+func New8xA10Node() TestNode {
+	node := TestNode{
+		NewTestGPU(0),
+		NewTestGPU(1),
+		NewTestGPU(2),
+		NewTestGPU(3),
+		NewTestGPU(4),
+		NewTestGPU(5),
+		NewTestGPU(6),
+		NewTestGPU(7),
+	}
+
+	// NVLinks
+	node.AddLink(0, 1, nvml.SingleNVLINKLink)
+	node.AddLink(0, 2, nvml.SingleNVLINKLink)
+	node.AddLink(0, 3, nvml.SingleNVLINKLink)
+
+	node.AddLink(1, 0, nvml.SingleNVLINKLink)
+	node.AddLink(1, 2, nvml.SingleNVLINKLink)
+	node.AddLink(1, 3, nvml.SingleNVLINKLink)
+
+	node.AddLink(2, 0, nvml.SingleNVLINKLink)
+	node.AddLink(2, 1, nvml.SingleNVLINKLink)
+	node.AddLink(2, 3, nvml.SingleNVLINKLink)
+
+	node.AddLink(3, 0, nvml.SingleNVLINKLink)
+	node.AddLink(3, 1, nvml.SingleNVLINKLink)
+	node.AddLink(3, 2, nvml.SingleNVLINKLink)
+
+	node.AddLink(4, 5, nvml.SingleNVLINKLink)
+	node.AddLink(4, 6, nvml.SingleNVLINKLink)
+	node.AddLink(4, 7, nvml.SingleNVLINKLink)
+
+	node.AddLink(5, 4, nvml.SingleNVLINKLink)
+	node.AddLink(5, 6, nvml.SingleNVLINKLink)
+	node.AddLink(5, 7, nvml.SingleNVLINKLink)
+
+	node.AddLink(6, 4, nvml.SingleNVLINKLink)
+	node.AddLink(6, 5, nvml.SingleNVLINKLink)
+	node.AddLink(6, 7, nvml.SingleNVLINKLink)
+
+	node.AddLink(7, 4, nvml.SingleNVLINKLink)
+	node.AddLink(7, 5, nvml.SingleNVLINKLink)
+	node.AddLink(7, 6, nvml.SingleNVLINKLink)
+
+	return node
+}
+
 func NewDGX2VoltaNode() TestNode {
 	return nil
 }