This paper proposes an algorithm for mapping logical to physical memory resources on FPGAs. Our greedy strategy based algorithm is specifically designed to facilitate timing closure on modern multi-die FPGAs for static-dataflow accelerators utilising most of the on-chip resources. The main objective of the proposed algorithm is to ensure that specific sub-parts of the design under consideration can fully reside within a single die to limit inter-die communication. The above is achieved by performing the memory mapping for each sub-part of the design separately while keeping allocation of the available physical resources balanced. As a result the number of inter-die connections is reduced on average by 50% compared to an algorithm targeting minimal area usage for real, complex applications using most of the on-chip's resources. Additionally, our algorithm is the only one out of the four evaluated approaches which successfully produces place and route results for all 33 applications and benchmarks.