The Spanish midfielder is very highly rated in Italy despite having produced a fairly disappointing 2013-14 campaign.
Over the last couple of weeks there have been links with West Ham and Tottenham, but Obiang's current employers seem reluctant to let him leave.
Sampdoria sporting director Carlo Osti is said to have put a price tag of around £5 million on Obiang and is believed to be ready to increase that in order to scare off bidders.
Serie A clubs AC Milan, Sassuolo and Napoli have all reportedly given up on trying to lure Obiang due to the demands from Sampdoria and it could be that the Premier League sides go the same way.
Obiang developed in the Atletico Madrid youth system and joined Sampdoria in 2008 where he has made just under 100 appearances.