The Togo forward ended his contract at White Hart Lane following the end of the summer transfer window, and has been without a club ever since.
The striker his not actively sought new employers, and according to the Daily Mail, has been in African since ending his stay in North London.
The tabloid reports that London pair Watford and Chelsea are both understood to be considering a move for the West African, who previously featured for both Manchester City and Arsenal.
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At Watford, Adebayor would be enlisted to complement existing strikers Odion Ighalo and Troy Deeney, as the Hornets—who have impressed on their return to the top flight—attempt to keep clear of the relegation zone.
However, at Chelsea, he would likely be charged with helping the reigning champions return to their former glory.
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The Pensioners are enduring a miserable start to the season, and after 14 matches they sit down in 14th, having amassed only 15 points from their games to date. The Blues have lost seven matches and won four to date, and it remains to be seen whether they can reinsert themselves in the title picture or even secure a return to the Champions League.
Adebayor, who has experience of playing in elite European competition, could be being eyed as a replacement for Diego Costa, with the Spaniard having been axed for the weekend trip to Tottenham Hotspur after failing to impress Jose Mourinho [Metro].