Zaza has struggled since his loan switch to West Ham United.
A report in The Sun has suggested that West Ham have now entered negotiations with Simone Zaza's representatives about the possibility of removing the clause in his loan deal that would see his move become permanent after a certain number of games.
The 25-year-old has struggled since his move to the London Stadium, but with The Sun reporting that Slaven Bilic is determined to keep selecting him if he has little choice, the Hammers face a problem.
West Ham United's Simone Zaza
The Sun reports that West Ham have agreed with his parent club Juventus that they will pay £20m to sign Zaza permanently if he plays 14 times during his loan spell.
With eight games already under his belt in the Premier League, it is looking increasingly likely that the Italy international will make the number of appearances that would trigger the clause.
However, it now appears that the Irons are seeking to get rid of that clause.
West Ham United manager Slaven Bilic
Given Zaza's form since his arrival, it is hardly surprising that the Hammers hierarchy are keen to avoid paying £20m to make his move permanent.
He is still awaiting his first goal and has not even contributed an assist for Bilic's men. And given that the striker has never been the most prolific goalscorer when playing at the highest level - he scored 25 times in 83 Serie A games in the three seasons before his move to England - it perhaps seems unlikely that he will go on to score the amount of goals that would make it seem like £20m well spent.