ESPYs

V. Stiviano tells TMZ Sports she wasn't OFFENDED when Drake called her the "Side Piece of the Year" during the ESPYs ... she was FLATTERED.

Stiviano was leaving Villa Blanca in Beverly Hills ... when she told us the "Side Piece" shout out was "a very big compliment."

Funny, 'cause Drake certainly didn't mean it as one as he mocked her right before going into a song called, "Donald Sterling Never Loved Us."

Either way, Stiviano's biggest concern yesterday didn't seem to be the diss ... it was the fact she was getting into a Volvo ... instead of a Bentley, Ferrari or a Rolls.

Priorities.

They called him the "Jolly Green Giant" ... "Gumby" ... and "Walking Pool Table Material" ... but Kevin Durant had a message for everyone who hated on his ESPY fashion last night ... and TMZ Sports has the video.

Maria Sharapova is such a badass ... she hit the sand dunes BEFORE the ESPYs to sneak in a killer workout ... and we've got the pics.

The tennis superstar was out in Manhattan Beach where she ran up the sandy hills for about an hour ... showing off her killer abs in the process.

A short time later, Sharapova swapped out the gym clothes for a fancy dress and went to the award show -- where she towered over her co-presenter Floyd Mayweather in a pretty hilarious segment.

Drake threw a party after the ESPYs ... with a ton of celebs who drank and ate at one of the most outrageous estate's in L.A.

Mack Maine, Jessica Alba, Blake Griffin, Johnny Manziel, Colin Kaepernick and others partied at the home of Mohamed Hadid ... an L.A. real estate mogul who was once married to Yolanda Foster from "Real Housewives of Beverly Hills."

It's a 50+ million dollar compound that sits on more than 2 acres. The main house -- where Drake threw the party -- is 48,000 square feet.

It's no Versailles ... but close.

Chris Brown and Drake killed it with a comedic sketch at the ESPYs -- which is way better than when they were ACTUALLY trying to kill each other.

It went down like we called it -- after a long setup to establish the Breezy/Drizzy's beef … Drake ends up on an operating table where "Dr." Blake Griffin appears to be performing surgery … that is until Brown menacingly pops up with surgical tools ready to do the work.

Afterward ... Griffin and Brown were live on stage, where Chris introduced himself as, "America's Sweetheart."