Bournemouth have rejected offers for Jason Pearce, Danny Ings and Rhoys Wiggins.
The Cherries are keen to retain their prized assets this summer after chairman Eddie Mitchell confirmed interest in the coveted trio intensified over the weekend.
Mitchell, who declined to disclose the details of the three bids, told the Bournemouth Echo: "We can't stop offers coming in.
"We have got to listen to all the clubs and agents that are coming forward with offers. To date, none of the offers have suited our valuations of the players.
"As we haven't put them on the market to sell, I am desperately trying to keep the squad together, but I've got to meet players' expectations."