France overcame gutsy resistance from Scotland – who included Worcester’s Euan Murray – to pick up their first win of the tournament but could not avoid finishing last in the Six Nations.
Greig Laidlaw kicked the visitors into a 6-0 half-time lead as the Scots defended like lions.
But French pressure continued to build and Wesley Fofana and Maxime Medard scored tries as tackles were missed.
Tim Visser responded with a late breakaway touchdown but Scotland – who finished in third spot in the table – could not manage a third campaign victory.