'Soundly' definitions:

Definition of 'soundly'

From: WordNet
adverb
Deeply or completely; "slept soundly through the storm"; "the baby is sleeping soundly"
adverb
Completely and absolutely (`good' is sometimes used informally for `thoroughly'); "he was soundly defeated"; "we beat him good" [syn: thoroughly, soundly, good]

Definition of 'Soundly'

From: GCIDE
  • Soundly \Sound"ly\, adv. In a sound manner. [1913 Webster]