Meanings of almost fine in English

Keenan felt almost fine when Seth came back into the room.

For a while, everything seemed almost fine.

And squinting at that sincere, clean, charming, almost fine face, he answered himself unwillingly: 'He could not!'

Oh, there's something complete about them, something almost fine in their trueness to type; they're the most perfect specimens of their disgusting class!

He was caressing this seeming favorite with one white, slender hand, almost fine enough for a lady's, while I observed him with keen scrutiny.