Sergio Floccari is more likely to return to Genoa this summer than Diego Milito, the Marassi outfit have noted.
Both strikers have been linked with a switch back to the Grifone, but President Enrico Preziosi insists that only one of them could arrive.
Milito, who has already had two spells at Genoa, last left the port club in 2009 to join Italian giants Inter.
Genoa actually replaced him with Floccari, only to then quickly sell him to Lazio in January of 2010.
"I think a return for Milito is impossible," Preziosi told Sky Sport Italia on Monday afternoon.
"As for Floccari, I like him a lot and I won't exclude the possibility that he could arrive at this club this summer."