With the day's main climb beginning, Sergio Henao and Mikel Nieve helped Froome as he battled to rejoin the main group, with Landa dropping back to help him complete the task ahead of the top of the descent, with 33 kilometres still to ride.
Dutchman Bauke Mollema won the stage after a courageous solo break on a lumpy 190km stage from Laissac-Severac l'Eglise to Le Puy-en-Velay. "I thought perhaps I wouldn't get back to the front".
The stage itself, a hilly trek through the Massif Centrale, was won by Holland's Bauke Mollema, going solo 30 kilometres from the finish. "Because of them, I think I became a better player, too", said Federer, who will turn 36 next month and is the oldest male champion at the All England Club in the Open era, which began in 1968. 'I'm so happy. I've worked for it so hard in the last few years'. Kwiatkowski gave me his wheel because the team auto was stuck behind.
King of the Mountains (Polka Dot Jersey): Frenchman Warren Barguil (Sunweb) added to an nearly unassailable lead today in the competition for the race's best climber.
The world time trial champion was overhauled on the main climb by Team Sunweb's Warren Barguil, who consolidated his leadership of the mountains competition by cresting the summit first.
Martin's first cousin Nicolas Roche enjoyed an impressive run on Sunday to finish sixth on the stage. He managed to carry the yellow jersey in to the Tour de France's second and final rest day.
"I've got to thanks my team-mates yet again for helping me".
Yet the Briton was able to get back in the pack and finish with the same time as Aru and Bardet, whose AG2R La Mondiale team was chiefly responsible for the initial attack.
"I just gave it a try in the last 30km". Mikel Landa (Spain / Team Sky) +1:17'; 7.
"I very rarely make a plan, it is just [about] opportunities", said Martin afterwards.
Nairo Quintana (Movistar) had a rough day, losing nearly four minutes in the GC battle and moving down to 11th overall. "Yates attacked on the climb [after Froome rejoined the group] ... he kind of stalled and I was a bit afraid ... there were many teammates left [of other riders] ... an Agr2r rider and Landa was there for Chris [Froome]".