France fly-half Lionel Beauxis kicked five penalties and convert flanker Fulgence Ouedraogo’s touched down while the Scots mustered a converted try by Thom Evans and two penalties by Phil Godman.

Hadden admitted too many handling errors and soft penalties had proved costly but he was also aggrieved by some crucial decisions by referee George Clancy and his team.

Maxime Medard appeared to pass the ball forward as he set up Ouedraogo for the try, and Hadden felt Kelly Brown had a try wrongly disallowed for Scotland following a scrum deep in French territory.

“We talked all week about the need to be brave and we were,” Hadden said.

“We talked all week about the need to be ambitious and we were. We matched the French with one try each in Paris.

“We knew there would be some handling errors. Unfortunately we got too many handling errors.”

Hadden added: “In our opinion we scored a perfectly good try that was disallowed. And there may have been some doubt over the French try.”

Skipper Mike Blair was more forthright.

“It was a forward pass when they scored, there’s no doubt about that,” the scrum-half said.

Hadden also felt Scotland were harshly penalised in some penalty decisions but he admitted they contributed to their own downfall. Beauxis kicked five penalties to prove the difference between the teams.

“Ultimately the penalty count cost us,” Hadden added.

“We have had a pretty close look at the 13-7 penalty count.

“We are very disappointed at some of the indiscipline and a bit disappointed at some others.”

Hadden also admits the Scotland pack have some work to do, although they were not helped by an early shoulder injury for lock Jim Hamilton.

“That’s something we’ll have a very close look at on the video. We knew the scrummage was going to be tough.

“We acquitted ourselves well in a lot of scrums but perhaps not so well in others.

“It’s certainly something we’ll be working on over the next two weeks. If you show a chink of weakness in the Six Nations, teams will take advantage.”