[FROG] bgp session between two vrfs on the same router.

Hi, I have a linux frr router that runs two different bgp sessions , one on the default vrf (AS11111) and the other on vrf AS9999  ( linux table 9999 ) It works perfectly, on linux I made two vlan interfaces added to the VRF,, as if they were two routers. Due to an internal, I need to join the two routers and make a router learn the tables of the other by bgp session between them. Note that each bGP session has its own ASN and ip space. In reality I need something like a "virtual" network where in this network I have an interface in vrf default and another in vrf as9999 Any idea? Did I miss some concept? It is first time I use  VRF Kind regards, Marcio Gomes