The Daily Mail says the incidents, that took place between a 13-day period from May 21, saw the culprits get away with hundreds of thousands worth of goods. Both players are understood to have be on holiday at the time of the break-ins.
Forward Sessegnon returned to his property in Ponteland, Northumberland, to find the criminals had stolen a television, jewellery and two vehicles - a Range Rover and BMW.
A 25-year-old has been arrested on suspicion of burglary. Likewise, Bardsley came back from his holiday last Friday to discover his house in East Rainton, Sunderland, had also been targeted, with two vehicles missing.