The 22-year-old Slovakian winger managed only one club appearance in 2009 before being loaned out to Bolton, Rangers and Espanyol in quick succession.
"At the moment I can already tell you that I have four specific offers. One from England, one from Italy and two from Spain," Weiss told Sport Aktuality.
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"I have also been in touch with German clubs and there is a rumoured interest from Russia and Turkey, but I'm not looking in that direction though, because as long as I have offers from the top leagues, I will be interested in those."
Weiss' contract with Roberto Mancini's side is due to expire the following season. He made 28 appearances in La Liga while on loan at Espanyol last term.