Rep. Debbie Wasserman Schultz said during an appearance on NBC's "Meet the Press" on Sunday that she had a "wonderful conversation" on the telephone with Giffords on Wednesday.
Wasserman Schultz, a Florida Democrat, said Giffords spoke in full sentences and initiated some of conversation instead of just responding, as she had done in the recent past.
Giffords was shot in the head during the attack at a constituent event in Tucson, Ariz., on Jan. 8. Six people were killed and 13 were injured.
The Arizona Democrat has been in a Houston rehabilitation facility since two weeks after shooting. The first photographs of the congresswoman since the tragic event were released on Sunday.