cor·dial·ly \ˈkȯ(r)jəlē, -li; US sometimes and Brit usually ˈkȯ(r)dyə- or -dēə-\adverb 1.: in a cordial manner : with sincere good will < welcomed his friends cordially > < cordially yours > 2.: with zeal : vigorously and sincerely : emphatically < Jefferson and Hamilton cordially disliked each other — H.E.Scudder >