Put the rack in the middle of the oven. Preheat oven to 350 F (180 C).
Flour the pork tenderloins. In a ovenproof skillet, brown the pork in butter and oil. Add salt and pepper. Remove from the skillet. Set aside.
Add a little bit of butter in the skillet if needed, then softened the shallots in the skillet. Add mustard, maple syrup and let simmer about 1 minute, until sauce thickens. Put the tenderloins back in the skillet and coat well with the sauce.
Cook in oven 16 to 17 minutes. It will still be pink a little bit.
Remove from the oven and cover with foil paper. Let rest 5 minutes before slicing. Garnish with fresh thyme.