The Belgium international has been a revelation since arriving at Tottenham from Atletico Madrid in 2015, and he still has two years, plus the option of a third remaining on his current deal.
However Alderweireld's advisor, Stijn Francis, recently warned Spurs they risk losing the centre-back if fresh terms are not offered, with a number of top clubs watching developments.
Reports over the weekend suggested City are targeting Alderweireld as the 'long term replacement for Vincent Kompany', and now Chelsea are also in the hunt.
Blues boss Antonio Conte wants to add another central defender to his ranks and could pursue a deal in January if Alderweireld is still involved in a stand-off with Spurs.
Tottenham manager Mauricio Pochettino has insisted Alderweireld is happy with his contract and is fully committed to the club, but for now the rumors look like going nowhere.