The Spain defender admits the pair would be very welcome at the Catalan club and would relish the chance to play alongside them at club level.
“The operation for Fernando is a difficult one. I don't know to what extent there is interest or if it is press talk but if he came, they (Torres and Villa) would form an incredible partnership,” he said.
"They are very good players and when two good players play together, they are always compatible.
“In the three years he has been there (in England), his statistics are excellent,” he added. "He has scored loads of goals, played a lot for Liverpool and showed he has a great eye for goal.
"But we can't forget about Zlatan and Bojan (Krkic) because they are great players up front and I don't know about the (reported) interest in the footballers we have (at Barca)."
And as for Fabregas: “I don't know when he'll come, but he will. I hope it's this year. The negotiations are under way, he will cost money but we hope it happens," Pique said.
“Cesc is sufficiently mature and has a lot more experience than me in the national team. I don't need to say anything to him.”