To be honest, none. Not for the amount the relegated clubs would expect to recuperate, and not for players who would be unlikely to thrive as merely squad players. I don't think Butland is the answer for us (I'd rather Pope, and unfortunately we let Everton claim Pickford). Shaqiri did surprisingly well for Stoke last year in the systems they played, however, he's not going to be content being just a dude we'd consider bringing on for the last 20 min of a game, for there's no way we'd start him in our system with his lack of pace and defensive input. He'd be better suited playing week in week out for a lesser team, perhaps as a replacement for Mahrez at Leicester if they'd rather an option in that position who can hold it up more rather than solely counter attack.
Mawson from Swansea would also be better suited to a mid-table team than ours. There are much better options available than him for the price other teams would be prepared to pay. And Rondon, Rodriguez, and Hegazi? As useful as they'd also be for lower premier league clubs, we'd be better off blooding our own youngsters than signing them.
So yeah, slim pickings. We'd be better off going after some of these departing Sporting Lisbon players if we can pull it off over the other vultures.