Manny Ramirez -- Snagged by Cops Days Before Domestic Violence Arrest

Manny Ramirez's arrest for allegedly slapping his wife wasn't his only run-in with cops this month ... 4 days earlier he was pulled over for speeding

Law enforcement sources tell TMZ ... Manny was popped by the Florida Highway Patrol, who pulled him over for speeding in his Porsche. We're told cops didn't write a ticket for speeding ... but did ticket him for failing to provide proof of registration.

Manny has until October 12 to ante up his registration, and if he does he'll only pay a $10 fine.