Lindsay Lohan -- HUGS IT OUT with Dina

What's a night of cocaine allegations, violence and insults between family? 'Cause hours after their blowout fight, Lindsay Lohan and her mother Dina were already hugging it out.

Lindsay wrapped her arms around her mom as she left Dina's home on Long Island this morning ... where police responded after the two went nuclear on each other late last night.

As we previously reported, Lindsay had called her father Michael while she and Dina were screaming at each other in a limo on the way home from a nightclub ... and told him that she thought her mother was on cocaine.

During the argument, Dina told Lindsay ... "You're dead to me."