Burford Capital, chaired by Sir Peter Middleton, the former chairman of Barclays, raised £80m last October by listing on London's AIM market.
FD won a competitive pitch to manage PR for the listing and has subsequently been taken on to provide retained PR support in its key UK and US markets.
The firm is using the proceeds of its listing to manage a portfolio of dispute financing investments in the US.
Robert Bailhache, MD of financial communications (UK), will lead the account, supported by teams in its UK and US offices.
Meanwhile, FD has been advising the Russian aluminium producer, UC RUSAL, on its listing on NYSE Euronext Paris from its France and UK offices.