No doubt impressed by his performances at the Copa America with Peru this summer - during which he has come up against the likes of James Rodriguez and Alexis Sanchez - the Hammers are on the verge of concluding talks with the 25-year-old's club.
The Peru national side, managed by Ricardo Gareca, caused a few surprises throughout their involvement in the tournament, particularly with their second placed group-stage finish.
Despite facing Brazil, Colombia and Venezuela, they finished just two points behind the eventual group winners, with Advincula emerging as one of the defensive stars of the opening round of fixtures.
The Peruvian has featured just a handful of times for his Bundesliga employers, having spent that last three seasons away from the club on loan.
Most recently, he has been in action for Portuguese side Vitoria Setubal, who narrowly avoided relegation from the Primeira Liga last season. He made 27 appearances in all competitions for the Setubal-based club, but it is unlikely he will return for a second season.
There will be doubts over Advincula's suitability for the Premier League - one imagines he would face a struggle adapting to the demands of the division. Despite his impressive displays at the Copa America, he has limited, if any, experience at an elite level of club football.