So what you are saying is the engines from Rose Royce is not competitive!?
Why would one expect an R&B group to give GE a run for its money in the jet engine business?
They probably have a preliminary concept sitting on a shelf - when RR left the International Aero Engines joint venture, it was with an eye toward pitching a new narrow body engine design of their own. IIRC I have a Russian presentation somewhere comparing the PD-14 engine architecture to its Western counterparts and the CFM56 which included the RR concept (RB285? It was a Trent-style three-shaft layout). Unfortunately, the lead that GE and especially former IAE partners P&W had in terms of expected entry into service date proved impossible to overcome, so the effort quickly faltered, leaving RR outside the narrow body market altogether.
It's hard to say whether they would be interested in the C919, politically their lower exposure to Boeing compared to Airbus could make it viable, though Brexit might be a problem (economic ties shifting toward the US). While development would not start completely from scratch and a left-field narrow body opportunity has its attractions, the company has moved on in the meantime. There are persistent durability problems on the Trent 1000 to contend with and R&D resources have since been committed to next-gen wide body engines (UltraFan) instead.
From the Chinese perspective it's also a difficult call whether waiting for a clean-sheet RR engine is worthwhile - the greater the improvements over the RB285 (which was unable to compete) are, the longer the delay will be. By contrast, the PD-14 is basically production-ready (it is already certified in Russia!) *now*, leaving only the work related to airframe integration. Are the anticipated performance advantages over the Russian alternative sufficient to justify waiting several years longer? Perhaps if COMAC can foresee that airframe testing and certification are so badly protracted that even a clean-sheet engine won't be the long pole in the tent it might make sense, otherwise just go for the PD-14.