diff --git a/Project.toml b/Project.toml
index e60e8d562f..d1cb55b330 100644
--- a/Project.toml
+++ b/Project.toml
@@ -67,7 +67,7 @@ LinearAlgebra = "1"
 LazyBroadcast = "0.1"
 Logging = "1"
 MPI = "0.20"
-MultiBroadcastFusion = "0.3"
+MultiBroadcastFusion = "0.3, 0.4"
 NVTX = "0.3"
 OrderedCollections = "1"
 PkgVersion = "0.1, 0.2, 0.3"
diff --git a/ext/cuda/data_layouts_fused_copyto.jl b/ext/cuda/data_layouts_fused_copyto.jl
index 518e81d3f7..e8c170ceeb 100644
--- a/ext/cuda/data_layouts_fused_copyto.jl
+++ b/ext/cuda/data_layouts_fused_copyto.jl
@@ -72,7 +72,9 @@ function knl_fused_copyto_linear!(fmbc::FusedMultiBroadcast, us)
     end
     return nothing
 end
-
+import MultiBroadcastFusion
+const MBFCUDA =
+    Base.get_extension(MultiBroadcastFusion, :MultiBroadcastFusionCUDAExt)
 # https://github.com/JuliaLang/julia/issues/56295
 # Julia 1.11's Base.Broadcast currently requires
 # multiple integer indexing, wheras Julia 1.10 did not.
@@ -80,48 +82,73 @@ end
 # special-case fixes for https://github.com/JuliaLang/julia/issues/28126
 # (including the GPU-variant related issue resolution efforts:
 # JuliaGPU/GPUArrays.jl#454, JuliaGPU/GPUArrays.jl#464).
+
+function fused_multibroadcast_args(fmb::FusedMultiBroadcast)
+    dest = first(fmb.pairs).first
+    us = DataLayouts.UniversalSize(dest)
+    return (fmb, us)
+end
+
+import MultiBroadcastFusion
 function fused_copyto!(
-    fmbc::FusedMultiBroadcast,
+    fmb::FusedMultiBroadcast,
     dest1::DataLayouts.AbstractData,
     ::ToCUDA,
 )
     (_, _, Nv, _, Nh) = DataLayouts.universal_size(dest1)
-    if Nv > 0 && Nh > 0
-        bcs = map(p -> p.second, fmbc.pairs)
-        destinations = map(p -> p.first, fmbc.pairs)
-        if all(bc -> DataLayouts.has_uniform_datalayouts(bc), bcs) &&
-           all(d -> d isa DataLayouts.EndsWithField, destinations) &&
-           !(VERSION ≥ v"1.11.0-beta")
-            pairs′ = map(fmbc.pairs) do p
-                bc′ = DataLayouts.to_non_extruded_broadcasted(p.second)
-                Pair(p.first, Base.Broadcast.instantiate(bc′))
-            end
-            us = DataLayouts.UniversalSize(dest1)
-            fmbc′ = FusedMultiBroadcast(pairs′)
-            args = (fmbc′, us)
-            threads = threads_via_occupancy(knl_fused_copyto_linear!, args)
-            n_max_threads = min(threads, get_N(us))
-            p = linear_partition(prod(size(dest1)), n_max_threads)
-            auto_launch!(
-                knl_fused_copyto_linear!,
-                args;
-                threads_s = p.threads,
-                blocks_s = p.blocks,
-                always_inline = false,
-            )
-        else
-            us = DataLayouts.UniversalSize(dest1)
-            args = (fmbc, dest1, us)
-            threads = threads_via_occupancy(knl_fused_copyto!, args)
-            n_max_threads = min(threads, get_N(us))
-            p = partition(dest1, n_max_threads)
-            auto_launch!(
-                knl_fused_copyto!,
-                args;
-                threads_s = p.threads,
-                blocks_s = p.blocks,
-            )
+    (Nv > 0 && Nh > 0) || return nothing # short circuit
+
+    if pkgversion(MultiBroadcastFusion) >= v"0.3.3"
+        # Automatically split kernels by available parameter memory space:
+        fmbs = MBFCUDA.partition_kernels(
+            fmb,
+            FusedMultiBroadcast,
+            fused_multibroadcast_args,
+        )
+        for fmb in fmbs
+            launch_fused_copyto!(fmb)
+        end
+    else
+        launch_fused_copyto!(fmb)
+    end
+    return nothing
+end
+
+function launch_fused_copyto!(fmb::FusedMultiBroadcast)
+    dest1 = first(fmb.pairs).first
+    us = DataLayouts.UniversalSize(dest1)
+    destinations = map(p -> p.first, fmb.pairs)
+    bcs = map(p -> p.second, fmb.pairs)
+    if all(bc -> DataLayouts.has_uniform_datalayouts(bc), bcs) &&
+       all(d -> d isa DataLayouts.EndsWithField, destinations) &&
+       !(VERSION ≥ v"1.11.0-beta")
+        pairs′ = map(fmb.pairs) do p
+            bc′ = DataLayouts.to_non_extruded_broadcasted(p.second)
+            Pair(p.first, Base.Broadcast.instantiate(bc′))
         end
+        fmb′ = FusedMultiBroadcast(pairs′)
+        args = (fmb′, us)
+        threads = threads_via_occupancy(knl_fused_copyto_linear!, args)
+        n_max_threads = min(threads, get_N(us))
+        p = linear_partition(prod(size(dest1)), n_max_threads)
+        auto_launch!(
+            knl_fused_copyto_linear!,
+            args;
+            threads_s = p.threads,
+            blocks_s = p.blocks,
+            always_inline = false,
+        )
+    else
+        args = (fmb, dest1, us)
+        threads = threads_via_occupancy(knl_fused_copyto!, args)
+        n_max_threads = min(threads, get_N(us))
+        p = partition(dest1, n_max_threads)
+        auto_launch!(
+            knl_fused_copyto!,
+            args;
+            threads_s = p.threads,
+            blocks_s = p.blocks,
+        )
     end
     return nothing
 end