Rudi Garcia's men now boast a record that no team in the history of the Italian top flight can lay claim to, even the Juventus team of 2005-06, whose nine-match winning run from the start of the season is no longer recognised after their results were expunged for match-fixing.
But the hosts were made to work hard for their triumph, with Chievo producing a resilient defensive display that had the league leaders frustrated for more than an hour.
Borriello got on the end of substitute Alessandro Florenzi's cross in the 67th minute to finally end the resistance of Giuseppe Sannino's underdogs and move Roma five points clear at the top.
The hosts made three changes, with Vassilis Torosidis deputising for the suspended Maicon, while Florenzi had to be content with a place on the bench after Marquinho was preferred.
And when opportunities did come their way, Roma were wasteful - Borriello and Kevin Strootman in particular fluffing good first-half chances.
But, just as Chievo were daring to dream, Florenzi and Adem Ljajic linked well on the left-hand side of the box, with the former chipping in a cross that Borriello headed into the far corner from six yards for his first goal of the campaign.
