Well: if we remember correctly (well: if I remember correctly, that is), weren't there two different Elves named Legolas as well? Could that have been a reincarnation, or maybe just another common name (Greenleaf had to be a common Elf name). As for Glorfindel, I always thought that it was the reincarnation, because, as someone once phrased it to me:
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When Elves died, they frequently got plopped back down on Middle Earth in different bodies, for they could not pass through the halls of Mandos, but were forced to wait.
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That is roughly true what I have since then read from Tolkien (I'd already read The Hobbit and Lord of the Rings...since then, I've read The Silmarillion, Unfinished Tales and Lost Tales 1).
So: in conclusion: we don't really know who was a reincarnation with the same name or was just a coincidence, unless Tolkien specified. And: did it mention Glorfindel being reincarnated in The Sil? If so: gotta reread it again: already forgetting a lot of it.