adverb taking the 'to' particle
drowsy-looking; intoxicated-looking (eyes, actions)
Describes eyes or movements that appear heavy, unfocused, or languid, often from sleepiness or intoxication. Used with する or とした.
彼は眠そうにとろんとした目をしていた。
He had drowsy, unfocused eyes.
お酒を飲みすぎて、目がとろんとしてきた。
After drinking too much, my eyes started to look unfocused.