An own goal by Vasilis Lampropoulos condemned Greece to its third loss in six Nations League games, as Estonia won 1-0 at the Olympic Stadium in Athens on Sunday.
The Greeks struggled to create chances against some staunch defending by the Estonians, whose physical approach made life difficult for the hosts.
Greece has finished the group on nine points from six games in third place behind Finland and Hungary, while Estonia were relegated to Division D.
The Greeks will now have to wait for the draw of the Euro 2020 qualifiers that kick off in March 2019.
After Sunday’s result, Greece will be placed in lowly Pot 4 for the December 2nd draw for the EURO qualifiers.