The Collaborative International Dictionary of English v.0.48:
Cordially \Cor"dial*ly\, adv. In a cordial manner. -- Dr. H. More. [1913 Webster]WordNet (r) 3.0 (2006):
cordially adv 1: in a hearty manner; "`Yes,' the children chorused heartily"; "We welcomed her warmly" [syn: heartily, cordially, warmly]