The Feyenoord defender may be an alternative for Tony Pulis after transfer frustrations at fullback.
Terence Kongolo training
The 22-year-old is a central defender who has plenty of experience playing at left-back, a position that has been a thorn in the side of Tony Pulis's transfer plans this summer.
Kongolo is a Netherlands international, having won two caps, and last season played 25 matches at fullback for his club and 10 in central defence. Before that he had predominantly featured in the middle of the back four.
Holland's Terence Kongolo in action with Wales' James Collins (L)
The Baggies have struggled to bring in the players they have identified so far this summer, with only Matt Phillips, a long term target, signing on at the Hawthorns.
A move for West Ham striker Diafra Sakho broke down last week, meaning want away forward Saido Berahino remains at the club. The Baggies hold strong interest in Leeds United fullback Charlie Taylor, but have been unable to produce a bid that will convince the Championship out fit to consider selling.
Brentford's Akaki Gogia in action with Leeds United's Charlie Taylor
Those two positions, striker and left-back, have been the major parts of the squad Tony Pulis is said to be eager to strengthen, and the signing of Kongolo would at least give the Welshman more options in the back line, even if he isn't a traditional fullback.
For much of last season James Chester and Jonny Evans took turns filling in at fullback, and if Kongolo comes in it would suggest they could return to positions they were happier with.
A number of the Baggies central defensive options are on the wrong side of 30, notably Jonas Olsson and Gareth McAuley. Kongolo would have the chance to come in and get to grips with the Premier League at fullback before perhaps moving further back later in his West Brom career.
West Brom manager Tony Pulis as James Chester prepares to take a throw in