| Hopea |
By RAW it seems like it works.
It is only said you can have one use of the Summon Monster SLA active, and that you cannot use the Summon Monster SLA when your Eidolon is out. (Master Summoners are a bit different though, but lets not go there just yet).
However, as a DM I would rule that that isn't how it is intended to work, and I'd have the Summon Monster end when the Eidolon comes out. I would let them stay during the one minute ritual however.