Berta held direct conversations with Galatasaray's board during the visit to gather first-hand information about the possible availability of Osimhen, 26, who is on loan from Napoli, reports AS.
The Nigerian striker has scored 19 goals across all competitions this season and attracted widespread interest following an injury-interrupted year in Naples.
Arsenal signed Viktor Gyökeres from Sporting Lisbon last summer for €75 million, but Berta is understood to still view Osimhen as a significant option for additional attacking reinforcement.
The other two Galatasaray players on Berta's agenda were wide attacker Barış Alper Yılmaz and goalkeeper Uğurcan Çakır. Yılmaz, 25, is a versatile attacker who can play on either wing or through the middle and has been one of the Turkish Süper Lig's leading scorers this season.
Çakır, 30, has been the standout goalkeeper of this season's Champions League, making 40 saves across 12 group and knockout appearances.
In the two matches against Liverpool alone in the round of 16 he made 18 saves, including a penalty stop from Mohamed Salah, with 11 saves in a single game representing the most by any keeper in a Champions League match in the past decade.
Bayern Munich are also pursuing Çakır as a potential successor to Manuel Neuer, with Juventus and Inter Milan also identified as interested parties by sources close to the goalkeeper's camp.