Hoping for some help...LG UltraWide and Thunderbolt

All,

Is there a way to use BOTH of these displays, at their full resolution, with a MacMini 6.2? I have a Thunderbolt display currently in the Thunderbolt port, and the LG does not give it's full resolution through the HDMI. If I have to go through the any-type-of-adapter route, I'm willing if I will get max resolution on both.

Thanks!