Grameni made his professional debut for Viitorul Constanța on 4 April 2021, in a 0–1 Liga I away loss to Botoșani.

[1] He became a first-team regular after the club merged with Farul Constanța in the summer of 2021,[2] amassing 30 league games in the 2021–22 season.

Shortly before the conclusion of the championship, fellow league club Rapid București submitted a €1 million offer for Grameni,[5] which was deemed too low by Farul president Gheorghe Popescu.

[6] Grameni made his debut in European competitions on 18 July 2023, starting in a 0–3 away loss to Sheriff Tiraspol in the UEFA Champions League first qualifying round.

[8][9] Grameni was selected by manager Emil Săndoi in the Romania under-21 squad for the 2023 UEFA European Championship,[10] but missed out on the final tournament after being ruled out with an injury.