Bolton have confirmed that talks over deals for Shaun Wright-Phillips and Tuncay are ongoing.
Owen Coyle's men have long been favourites to land England winger Wright-Phillips, who is only on the fringes of the first team at Manchester City.
Roberto Mancini has admitted he will not be a regular, so would not stand in his way if he wanted to leave.
Sunderland and Wigan are also keen, but Bolton are in pole position to land him.
"Shaun is a tremendous player," said Coyle.
"He is someone I would love to bring to the club. Whether it is possible, only time will tell.
"There are financial implications involved. Players at Manchester City are on contracts that are more than we could pay. There is a threshold we cannot go beyond.
"But there has been dialogue between our chairman and (City chief executive) Garry Cook. That is where we are at the moment. There is nothing concrete."
Skysports.com revealed Bolton had made a move for Tuncay - currently at Wolfsburg, and a loan deal is now close.
"We are a good way down the line with that but it is not cut and dried," he said.
"He is a terrific player, who really works his socks off."
Coyle also expressed his surprise that Bolton have not received a firm offer for central defender Gary Cahill.
"I am surprised there has been no firm offer," said Coyle.
"Teams have had six or seven weeks already.
"I totally understand if they have made offers and talks are progressing, but why leave it until the last minute?"