The Giallorossi saw the better of the first half chances, with Stephan El Shaarawy and Tammy Abraham going close, but fell behind on the stroke of halftime to a stunning Ola Solbakken goal. The striker met a pass on the edge of the box to bend a wonderful effort beyond Rui Patricio first time.
However, Roma were back on level terms early in the second period when Nicolo Zaniolo spun and found El Shaarawy, allowing the Italy international to curl into the far corner. The teams were only level for little over 10 minutes though, as Erik Botheim finished off a quick counter attack with a close-range header to put Bodo/Glimt ahead once more.
Roma eventually got the equaliser late on after a corner fell to substitute Borja Mayoral and his cross was headed in by Roger Ibanez at the back post, although goalkeeper Nikita Khaykin almost kept the ball out on the goalline.