"@priyankachopra omg just got back to LA and you are everywhere I am driving! You get it girl!! #proudindian," Leone, 34, posted on Twitter.
Priyanka, 33, thanked the actress, who is currently in the US, for praising her.
"Thank u so much @SunnyLeone... So sweet! I wouldn't mind some Cali sunshine too!," she tweeted.
The American show is about the young recruits, who battle their way through training at the Quantico base in Virginia. One will launch a devastating terrorist attack on the US.
Priyanka will play Alex, a brilliant but haunted FBI trainee whose past boils to the surface soon after her arrival at Quantico.
"Quantico" has been executive produced by Mark Gordon, Josh Safran and Nick Pepper.