D'Ambrosio, 27, made his name with Torino before leaving for his big move to Inter in January 2014, but he played just 25 league games last season in a smaller role than imagined.
This term has been even worse for D'Ambrosio, as he has played just two games under Roberto Mancini, and a January exit now looks almost inevitable for the full back.
Able of playing at left back or right back, right-footed D'Ambrosio was strongly linked with a summer move to West Ham United, as reported by TMW here, who suggested contact had been made between the parties.
Now, with D'Ambrosio seemingly edging closer to a move away from the San Siro, TMW note that West Ham are again pursuing a deal for the full back ahead of the January transfer window.
After an impressive campaign last term, loanee Carl Jenkinson has struggled at times this season, and rather than try to negotiate a permanent deal with Arsenal, the Hammers could look elsewhere instead.
Having already landed Italian defender Angelo Ogbonna, West Ham could now look to bring in his former Torino team-mate D'Ambrosio as a replacement for Jenkinson, whose future would certainly be up in the air if he heads back to Arsenal next summer.