How to use constant memory on several cuda devices - memory

Question

I'm trying to utilize two cuda devices I have (I'm now experimenting with GF 690GTX which is actually 2 separate devices), and my program uses constant memory to transfer data to the device.
I clearly understand what I should do with global memory to use it in two devices:
//working with device 0
cudaSetDevice(0);
void* mem_on_dev_0 = cudaMalloc(...);
cudaMemcpy(mem_on_dev_0, mem_on_host, ...);
kernel_call<<<...>>>(mem_on_dev_0);
//working with device 1
cudaSetDevice(1);
void* mem_on_dev_1 = cudaMalloc(...);
cudaMemcpy(mem_on_dev_1, mem_on_host, ...);
kernel_call<<<...>>>(mem_on_dev_1);
But when working with constant memory the ordinary way to use it is to declare the constant variable somewhere in the file and then use "Symbol"-functions to work with it:
// What device this memory is on?
__device__ __constant__ float g_const_memory[CONST_MEM_SIZE];
// dev_func can be told to be called on any device
__global__ void dev_func()
{
//using const memory
float f = g_const_memory[const_index];
}
void host_func()
{
//cudaSetDevice(0); //any sense?
cudaMemcpyToSymbol(g_const_memory, host_mem, ...);
dev_func<<<...>>>();
}
I've googled much before asking this question but I didn't find any answer. Is there really no way to do it?