All I would be able to reccomend are bassoon solos with piano accompaniant. But I am sure the bassoonist would know of solo pieces with piano accompaniant or however you spell it.
But I can give you some examples of some pretty well known bassoon solos with piano accompaniant.
- Saint Saens Sonata for Bassoon and Piano
- Hindemith Sonata for Bassoon and Piano
- Weissenborn Capricicco for Bassoon and Piano
- Elgar Romance for Bassoon and Piano
I am not sure what you are asking for. Then there are The Mozart, Weber, Gordon Jacob, Concertos with transcribed piano accompaniant.
You might be able to find a simple transcription of In the Hall of the Mountain King for bassoon and piano which may be fun to play and has a very simple bassoon part that I know of.
Hope that was at least somewhat helpful lol.