There are lots of local football clubs in and around mumabi and I have listed out some clubs name below, based on your location try to pick which is feasible to you. To join them you need to contact them personally for selection related queries.
Sunday Boys Football Club, Bhandup East
Mumbai School Sports Association, Fort
Shakti Sports Academy, Andheri West
Phoneix Sports & Leisure Group, Parel
Royal Bombay Yacht Club, Colaba
Kamala Vihar Sports Club, Kandivali West
M.P.T. Sports Club, Fort
Football Club of Mumbai Kars, Andheri East
Soccer School, Nariman Point
Garware Club House, Churchgate
Some times peace is better than being Right!!!