Rumbuti's series earned him 14.5 points, including 9.0 for execution, securing him the eighth and final place in Rotterdam.
Sweden has not had a male gymnast in a World Championships final since 1992, when Johan Jonasson reached the vault final, the Swedish Gymnastics Federation writes in a press release.
The final on the horizontal bar will be next Sunday, October 25, at 2 p.m.
Correction: An earlier version of the text gave an incorrect score for Rumbuti.
