Going into Tuesday's stage, they were in the enviable position of occupying the top two positions in the overall standings, meaning tactically they would be able to play two cards in the pink jersey race.
What was expected to be a quiet transition stage - over the longest distance of the entire Giro at 244km - turned into a frantic day of racing which included a couple of climbs.
Mitchleton-Scott's Simon Yates stays in the race leader's Maglia Rosa and extended his lead after picking up bonus seconds at today's intermediate sprint.
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On a bittersweet - but predominantly bitter - day for Mitchelton-Scott in Le Marche, race leader Simon Yates picked up a few intermediate sprint bonus seconds to strengthen his grip on the pink jersey as team-mate Chaves cracked on the first of three categorised climbs to finish more than 25 minutes down on stage victor Mohoric.
Overall, Froome has now moved back into the top 10 following Chaves' dramatic fall down the GC rankings.
A series of attacks began late in the day with stage honours on the line, and as the tension increased Dumoulin was caught in a small crash, with the Team Sunweb man needing a bike change before chasing back on.
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Second over the line was AG2R La Mondiale's Nico Denz, with Bora-Hansgrohe's Sam Bennett in third.
"After that, I remained close to [team-mate] Domenico Pozzovivo until I asked him if I could ride behind Villela since I felt very good. When I saw that he was not passing, I gave it my all".
Slovenian rider Matej Mohoric edged Nico Denz in two-man sprint to win the stage while all of the other leaders finished in the main pack, 34 seconds behind. That's why I tried to drop him a few times before. It was a hard stage and subsequently a different sprint than if we had arrived fresh.
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Wednesday's stage 11 will be another lumpy one, covering 156km and three categorised climbs between Assisi and Osimo.