The England Under-21 winger, who is a free agent after his contract expired with Blackpool, was considering a move to Inter Milan and had also been linked with Monaco.
The 22-year-old flew out to Italy last month with his father Paul, who played for the Nerazzurri in the 1990s, to meet club officials to discuss a possible move to the San Siro.
However, Ince has decided against following in his father's footsteps for now at least.
"After lengthy discussions with my family I have decided that my immediate future in the game lies in the Premier League," he said.
"I am flattered to have received such strong interest from several big European clubs. But I believe at this early stage of my career I need to continue my football education in England.
"I would like to thank the clubs overseas for their interest and kindness. I still have ambitions to one day play in Europe. I am now looking forward to what lies ahead next season."