The Nigerian international has enjoyed a fine season with Perugia this term and he has attracted the interest of Internazionale, Milan and German side Borussia Dortmund.
Perugia would like to keep Obodo, but know they would not be able to reject a big-money offer for the promising midfielder.
Juventus are hoping to tempt Perugia to sell the African ace to them by offering Uruguayan striker Marcelo Zalayeta as part of the deal.
The Bianconeri enjoy a good relationship with Perugia and are hopeful of beating off the competition for Obodo's signature.