Covered with or as if with clothes or a wrap or cloak (synset 301699958)
"leaf-clothed trees"; "fog-cloaked meadows"; "a beam draped with cobwebs"; "cloud-wrapped peaks"similar: covered - overlaid or spread or topped with or enclosed within something; sometimes used as a combining form
Giving or marked by complete attention to (synset 300165213)
"that engrossed look or rapt delight"; "enwrapped in dreams"; "so intent on this fantastic...narrative that she hardly stirred"; "rapt with wonder"; "wrapped in thought"similar: attentive - (often followed by `to') giving care or attention
Enclosed securely in a covering of paper or the like (synset 302094739)
"gaily wrapped gifts"