The Italy international is co-owned by both clubs.
"Bologna and Inter need to talk, but I think a solution can be found," said Viviano.
"If an important opportunity should arise, I hope to take it, especially as that would allow Bologna to bring some money in.
"It's true that while Julio Cesar is at Inter, they cannot have Viviano. However, it's not true that I refuse to be an understudy for the Nerazzurri.