The 23-year-old has enjoyed a breakout campaign in Italy, scoring seven goals and providing four assists in 41 appearances across all competitions.
His form has not gone unnoticed.
Bologna are understood to be facing growing competition for the England winger, with Chelsea among the clubs tracking his development closely after scouting him last month alongside Manchester United.
Galatasaray are also pushing hard for Rowe as they prepare for attacking changes of their own, with the Turkish champions identifying him as a possible replacement for Noa Lang.
Inside Bologna, concern is growing that the race could soon become impossible to contain.
Reports in Italy suggest Chelsea are weighing up an offer worth around €38 million, a figure that would place serious pressure on the Serie A side’s resolve.
Champions League qualification may yet become the deciding factor.
Rowe is believed to see European football as a major factor in any decision over his future, with Bologna’s hopes of keeping him closely tied to where they finish this season.
The club only signed him a year ago and had no intention of losing him this quickly.
But as interest builds across Europe, Bologna know admiration is quickly turning into something far more dangerous.