The Hammers have brought in a raft of new signings this summer, but manager Slaven Bilic will now be keen to strengthen his attacking options, with Andy Carroll's injuries a seemingly never-ending battle.
Now, the Daily Mail believe that Rubin Kazan forward Livaja has been given the green light to begin training with the Hammers ahead of a proposed move to Upton Park - though it isn't clear whether that deal would be a loan or permanent move for the striker.
The Croatian - who compatriot Bilic will no doubt be familiar with - joined Rubin Kazan last summer having impressed in Italy with Atalanta, but a number of controversial incidents throughout his career have dogged him so far.
It seems that Bilic want to see how Livaja settles in to training alongside the rest of the Hammers squad before making any concrete bid for the forward, given the 21-year-old's reputation from his time in Italy and Russia.
What can Livaja bring to West Ham?
Livaja can play as a centre forward, off a striker or even out wide, providing great versatility in the final third - something Bilic may be keen to add.
The Croatian has good technical ability, as well impressive strength and link-up play when leading the line, which would certainly help West Ham if Carroll remains injured for a while yet.
At 21, Livaja still has room to grow, but a poor year in Russia has many doubting whether he can fulfil his potential. A move to play under compatriot Bilic may help, but it's time for Livaja to mature and knuckle down, or risk becoming another case of 'what could have been'.