I'm guessing Sollozzo said "drink it" to Hagen when he told him the Don was dead.
"Cut her throat" (or "slit her throat") was the first of the two guys who broke into Vincent's flat, speaking to the other guy.
To repeat my extant quote: "Heavy stuff."


Ntra la porta tua lu sangu � sparsu,
E nun me mporta si ce muoru accisu...
E s'iddu muoru e vaju mparadisu
Si nun ce truovo a ttia, mancu ce trasu.