The Spurs striker has been linked to Aston Villa and West Ham in recent weeks.
The Italian outlet reports that Lazio are monitoring the striker's situation and retain an interest in him, along with several other striking targets.
The Togolese striker is no longer part of Mauricio Pochettino’s plans and was not given a squad number for this years campaign.
West Ham are also believed to be interested, and Adebayor is said to favour the Hammers, with the 31-year old keen to stay in London, according to the Daily Star.
A move to Italy could represent another option for the striker, but Lazio would struggle to meet his sizeable wage demands without a Spurs subsidy of some sort.
Daniel Levy is likely to be more open to such an agreement with a foreign club, as opposed to a domestic rival, and it’s this factor which makes Adebayor’s switch to the Stadio Olimpico less implausible than it may first seem.
Spurs will be desperate to offload the striker by whatever means necessary before the close of the window, and his on-going presence around the training ground will have nothing but a detrimental effect, the longer this transfer saga drags on.