Greece started as they meant to go on, scoring the first five points of the match and quickly extended their lead to nine at 20-11, which they held until the end of the first quarter, at 24-15.
Though the likes of Lauri Markkanen and Miikka Muurinen contributed well for Finland in the second quarter - as they have done throughout the competition - they could not stop Giannis Antetokounmpo helping Greece to a second 24-point quarter, making the score 48-34 at the half.
Lassi Tuovi's men managed to edge the third quarter, 22-21, thanks largely to a 10-3 run midway through with Jacob Grandison picking up five of those points, but the Nordic side had surely given themselves too much to do in the final 10 minutes.
But Finland did not know when they were beaten - 17 points behind with 03:20 left in the game, Olivier Nkamhoua set Finland on their way, beginning a 15-2 run which cut the Greek advantage to just four (86-82) with just under a minute to play.
A two-pointer and one from the free-throw line from Antetokounmpo looked to have extinguished the comeback, only for a Markkanen three and free throws from Miro Little and Elias Valtonen to make it a one-point game (90-89) with five seconds to play.
Antetokounmpo drew a foul and added two from the line, giving Finland the chance to tie, but Mikael Jantunen missed his three-point jump shot in the final second, meaning Greece took a 92-89 win and the EuroBasket 2025 bronze medals.
For Finland, it is still their best-ever showing in the European championship, going better than their sixth place in 1967 and seventh in 2022. Later on Sunday, world champions Germany became European champions, too, beating Turkey in the Final.
In the bronze medal match, Antetokoump led the game in scoring (30 points) and rebounds (17), while Markkanen was Finland's best in both categories with 19 and 10, respectively. Jantunen was the game leader in terms of assists, with seven.
Review all the results and stats from EuroBasket 2025 on Flashscore.