Does it happen overnight? If so, may well be bed bugs. Your local council probably treat them for free - we had this and I was bitten every night for a month or so (felt like gnat bites). Council said probably wasn't bed bugs but they sprasyed the room for free anyway and after 2 or 3 days it was fine and I haven' tbeen bitten since. There are loads of biting insects that it could've been, apparently...