Simon Bolelli and Fabio Fognini prevailed over Marin Cilic and Ivan Dodig 3-6, 6-1, 6-3, 7-6 (13-11) in Turin.
Italy can advance to the semifinals Sunday with a win in the reverse singles portion of the match-up.
Andreas Seppi will take the court first against Cilic, with Fognini and Dodig standing by for the second match of the day.
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