According to Manuele Baiocchini on Sky, Inter are concrete competition against Juventus for Zuniga. The expert says:

“Zuniga already has a deal with Juventus and Juve wants him. Inter and Mazzarri offered 10 million euros that De Laurentiis said no to. Though De Laurentiis prefers selling Zuniga to Inter before Juventus, something that could be decisive.”

Source:Fcinternews.it