Pjanić has been linked with a move to the Premier League for some time, with Spurs said have been interested in landing the 23-year-old last summer.
While his representatives were keen on playing down a move last time round the Roma midfielder is said to be keen on a switch this summer.
Roma face a period of uncertainty following their Coppa Italia cup defeat against rivals Lazio, with a host of key figures said to be ready to move.
Earlier this month the Sun reported that the former Lyon ace was a target for Manchester City and Arsenal as well as Tottenham. The paper also claim his value is currently placed at around £20 million.
Italian journalist Tancredi Palmeri posted a message on Twitter this afternoon confirming a Sky Italia report that Spurs had lodged an official bid with Roma for Pjanić.