The 29-year-old striker has a number of offers on the table but in recent interviews he claims he dreams of Champions League football.
West Ham are claimed to have offered the Colombian international €4m-a-year (£63,500 per week) plus bonuses.
The package is thought to be the highest he has received but it’s believed it’s the Hammers’ Europa League qualification status that is proving to be putting him off.
The likes of Atletico Madrid and Arsenal have also been linked as potential suitors for Bacca, with the striker hoping either side comes in to increase on West Ham’s offer.
AC Milan are financially dependant on selling Bacca, and are unable to push ahead for other transfer targets until the Colombian is sold. Thus they want the player to make a quick decision.