He was born in Coronel Oviedo, Paraguay on February 4, 1898 as a son of Ciriaco Giménez and Ana Bella Benítez.

As he concluded his military service he studied singing and violin theory with Vicente Maccarone, in the Paraguayan Institute.

He participated in the formation of great musicians such as José Asunción Flores and Fernando Centurión.

In the educational field, he was part of the formation of choirs and wrote popular music arrangements, also writing some songs dedicated to the youths.

The fact that Remberto never entirely shared his knowledge about composition is criticized and is the probable reason for not leaving disciples.

In some pieces like "Rapsodia Paraguaya" of (Nicolino Pellegrini) a superiority can be sensed regarding other composers of the time.

In his pieces: Campanento Cerro León, La Golondrina, Nostalgias del terruño, Ka'aguy Ryakua (Fragrance of the forest) and Kuarahy oike jave (When the sun sets), la Marcha presidential and numerous arrangements for symphonic orchestra.