West Brom have already signed one Premier League veteran and they are reportedly eyeing another as they look to avoid relegation this season.
The Baggies were promoted to the top flight last season after finishing second in the Championship.
Grady Diangana was signed on a permanent deal this summer after impressing on loan last season
Grady Diangana was the most expensive addition with a deal worth around £18million struck with West Ham.
Winger Matheus Pereira also made his loan move from Sporting Lisbon permanent while Conor Gallagher has joined for the season from Chelsea.
Branislav Ivanovic was a popular figure at Chelsea
Bilic also added Chelsea legend Branislav Ivanovic despite the veteran defender being 36.
He left Zenit Saint Petersburg at the end of last season and joined West Brom on a free transfer.
According to The sun, the Baggies are eyeing a move for 36-year-old Emmanuel Adebayor.
Bilic is understood to have had conversations with the former Arsenal, Man City, Real Madrid and Tottenham striker.
Emmanuel Adebayor has scored 97 Premier League goals
Adebayor is also a free agent after his association with Paraguay club Olimpia ended in July.
The West Brom boss is thought to want another striker to bolster his attacking options and Adebayor is thought to want one final swansong.
The Togo international has 97 Premier League goals to his name and he could finally join the 100 club with one last effort.