Manchester United have posted scouts across Europe with the brief to find the best young attacking talents on the continent.
The People says United boss Louis van Gaal hasn't made a final decision on Falcao, but United's scouts have stepped up their Europe-wide search for strikers in the last few weeks.
Burnley believe free-agent-to-be Danny Ings could end up at Old Trafford, while Van Gaal recently ordered a look at Borussia Dortmund's 25-year-old French forward Pierre-Emerick Aubameyang.
Scouts from the Old Trafford giants have also tracked Palermo's Argentinian goal-getter Paulo Dybala and Lazio attacking midfielder Felipe Anderson.