Valencia are the latest side to enter the race for the Portugal international according to Fotospor.
Speaking in the mixed zone after the 1-1 draw Nani was asked if he had offers from abroad.
“Maybe, we will see,” Nani replied.
The La Liga outfit are reported to have been keeping tabs on Nani and have been scouting him over Euro 2016.
Inter meanwhile are also reported to have agreed personal terms with the Portugal international winger and Everton are also closely linked.
Nani has also received interest from China but his €8 million release clause is only applicable to clubs from England, Spain and Italy.
The experienced winger has one assist to his name so far in Euro 2016 and has been a first-team starter for Portugal in the tournament.