These sorts of problems are little hard top pin down, because when someone is so sure they have systematically excluding everything, its not uncommon for them to rush through it, and not actually do something they think they did. So that's a caveat thoroughout this whole question.
That said ...
There is something in the sample, with much less absorption than a solvent blank, even though the sample matrix is the same. (Right? Conform this please.) Not a refractive index change, because its not on the RI detector. And it appears to be not retained at all.
Consider extending the re-equilibation time longer, long enough to keep this negative peak on the same run as the previous injection. This might pin down the source better -- this negative peak may be from something very well retained from the previous injection. This might not work, but see if it changes the negative peak in the next injection. It might even disappear -- that sort of thing happens when we try to pin these sorts of things down. We get more careful, as we try to isolate a problem, then it disappears, and we can't say for sure why.