Inter president Massimo Moratti believes the club have more chance of signing Palermo's Javier Pastore than Udinese's Alexis Sanchez.
The world champions have suffered a disappointing campaign, losing their Serie A title to rivals AC Milan, and also exited the Champions League 7-3 on aggregate in the quarter-finals to Schalke.
A number of potential big-money summer arrivals have been touted with the club looking to rebuild for next season, and Moratti was asked by TV broadcast Le Lene to rate the chances of stars joining the club out of 10.
"[Alexis] Sanchez? I'd say four out of 10. I don't think we can get him, he's too expensive. Palermo's Javier Pastore? Five. Napoli's Edinson Cavani? One. Barcelona's Lionel Messi? That would be nice but I'd have to say zero," he stated.
In recent weeks AC Milan's Zlatan Ibrahimovic has been linked with a sensational return to Inter but Moratti has conceded a deal looks impossible.
"Zlatan Ibrahimovic? I'd like to say 10, but it is a zero because Milan won't sell him," he added.
Moratti also discussed the club's coaching situation, admitting that the appointment of Rafael Benitez was the wrong one, but hopes that Leonardo can turn things around next season.
"He wasn't the ideal successor to Jose Mourinho, a tactician who deserves to return here because he was the best from the last 15 years," he said.
"It's all going very well with Leonardo. All coaches need a period to win and I think he will be able to take advantage."
Inter face their final Serie A game of 2010-11 at the weekend when they entertain Catania with second place already wrapped up.