QPR loanee Tom Carroll wants to "make it at Tottenham" but is prepared to consider all of his options at the end of the season.
Ilkay Gundogan has commited his future to Borussia Dortmund by signing a new contract.
The 38-year-old held discussions with Ajaccio - now managed by his former Juventus team-mate Fabrizio Ravanelli - concerning a move but will instead remain with Sydney FC in the Australian A-League.
A statement on the Ajaccio website read: "For several weeks the club have been in discussions with the celebrated Italian forward Alessandro Del Piero.
"Aged 38 and currently a player with Sydney FC, he will not ultimately come to Ajaccio. After reaching an agreement in principle, family reasons persuaded him to stay in Australia."
Del Piero spent almost 20 seasons as a professional with Juventus, scoring over 200 goals, before moving to Sydney last year. He won 91 senior caps for Italy, scoring 27 goals.