Your second sentence is ungrammatical; I assume it means
2. The match appeared to have been won.
For your question, I don't think "future" and "infinitive" go well together. It goes well with the past because the past is expressed with the auxiliary "have", hence "to have (been)" works. But the future is expressed with the modal "will", and "to will (be)" is impossible.
That said, you could use "to be going to" and finagle a pretty tortuous sentence out of it:
She seems to be going to be invited.
While I can imagine this being uttered in hasty conversation (perhaps as live sports commentary for "The match appears to be going to be won by the Blackhawks!"), I think most people would use this periphrastic strategy:
It seems that she's going to be invited.