The emphatic win opened up an 11-point gap at the top of the La Liga standings.
PSG, who face Real in the last 16 of the Champions League, plucked Neymar from Barcelona last August for a world record 222 million euros ($271.28 million) although despite his impressive displays on the pitch he has cut an unhappy figure at times. We have to keep working hard in the upcoming games and keep on winning.
Faced with two defenders, Messi dummied to shoot, drifted past both and calmly slotted home past goalkeeper Antonio Adan.
"After the first goal we were able to play more openly", Valverde said.
Benzema has scored two league goals in thirteen appearances so it's no wonder there's so much speculation surrounding a possible £200m move for Harry Kane. He has 10 goals in his last eight matches in all competitions.
The team's second-string lineup won 1-0 at Leganes on Thursday in the first leg of the Copa del Rey quarter-finals.
On Saturday, Atletico was held to a 1-1 home draw against Girona, while Valencia lost 2-1 at Las Palmas.
Those were again gruesomely evident until the five-time Ballon d'Or victor followed Luka Modric onto the scoresheet 12 minutes from time and his fearless diving header preceded Nacho completing a rout that leaves Deportivo slumped in the relegation zone. He was attended on the field for a while and could not continue as blood spilled over his face.
He asked one of Madrid's medical staff if he could use his phone and was seen using the mobile's screen to scrutinise his face, which was left as red as the shirt of his former club Manchester United.