Tottenham Hotspur's Federico Fazio (L) and Besiktas' Oguzhan Ozyakup in action
The Hammers are making strides with their summer recruitment, and having already landed Havard Nordtveit on a free transfer from Borussia Monchengladbach, manager Bilic is now moving for more additions.
West Ham manager Slaven Bilic
Sky Sports reported on Wednesday that West Ham are in advanced talks to land winger Gokhan Tore from Besiktas, having been a key player for the Turkish giants under Bilic before the Croatian's move to East London last summer.
Now, Turkish newspaper Milliyet report that whilst Tore's deal to join the Hammers is now 'in the final stages', Bilic also wants two more of his former Besiktas stars.
Besiktas star Gokhan Tore
The newspaper claim that Bilic is turning his attentions to defensive midfielder Atiba Hutchinson and playmaker Oguzhan Ozyakup, with a potential triple swoop on Besiktas in the works.
Veteran ace Hutchinson, 33, was a regular under Bilic having arrived from PSV Eindhoven in the summer of 2013, and he would offer great depth to the West Ham squad.
Besiktas' Atiba Hutchinson in action with Liverpool's Adam Lallana
The Canadian international can play in holding midfield or at right back, the latter of which has been a problem for the Hammers of late - and the report suggests that Besiktas are willing to let Hutchinson go if he wants to reunite with Bilic this summer.
Additionally, playmaker Ozyakup - once on the books at Arsenal - has become one of the finest young midfielders in Europe, and looks set to have a huge role for Turkey at this summer's European Championships.
With ten goals and 16 assists during his time under Bilic, Ozyakup is unsurprisingly being targeted by the West Ham boss, but the report suggests that Besiktas will only sell him to a top European club, meaning the Hammers could miss out.
Would you like to see West Ham sign Hutchinson, Tore and Ozyakup?