PSV Eindhoven has submitted an improved offer for U.S. youth international and Hannover 96 defender Chris Gloster, a source with knowledge of the situation told ESPN FC.
The source said that the improved bid was made on Friday, and follows a previous offer that was made at the end of June.
Hannover has told Gloster he will be part of the first team this season if he remains, and he was included in the club's first-team photo that was posted earlier this week.
But the prospect of playing in the Champions League or Europa League -- if not this season then in subsequent campaigns -- holds considerable appeal for Gloster. His current contract expires after the upcoming season.
The left-back position at PSV was manned last season by Spanish defender Angelino, but he was reacquired by Manchester City earlier this month via a buy-back clause. PSV has since brought in 21-year-old defender Toni Lato on loan from Valencia.
In what could be his final appearance with Hannover, Gloster played the final 14 minutes of Saturday's 1-0 friendly defeat to Dutch side Groningen.
Gloster, 18, spent most of last season with Hannover's reserve team, one that plays in the fourth-tier Regionalliga Nord, after starting the campaign with the U19s. He made 16 appearances with the reserves and four with the U19s, but the left-back enjoyed an impressive series of games at the FIFA U20 World Cup that was held in Poland, helping the U.S. reach the quarterfinals. Those performances saw him catch the eye of PSV.
Hannover will spend the 2019-20 season in the 2.Bundesliga following a campaign that saw them finish next-to-last in the top flight with just 21 points, seven points adrift of the relegation playoff spot.
PSV will face Swiss side FC Basel in the second qualifying round of the UCL, hosting the first leg on July 23 and then traveling to Basel for the second leg a week later.