He came to the us without visa in 2004. they fall in love an marry in 2008. Is there any legal path for GC?
The INA 245(i) cut-off date was April 30, 2001, for the filing of a petition or labor cert. The alien would have had to enter by a certain date in December of 2000 in order to later adjust status. IF anything non-frivolous and approveable when filed was filed by then, it can be used later to grandfather a new petition.
This does not appear to be the case.
No you cant and you would have had to put the paperwork in in 2000 in order to be eligible.
Weirdly enough, my sister-in-law was in the same boat and she hired a immigration lawyer, now her husband is a LPR and living and working here.