Sean 'P Diddy' Combs' girlfriend sporting a nasty swollen cut on her nose

*LAPD rushed to the Los Angeles-area home of Diddy’s baby mama Kim Porter in response to a death threat and gunfire call, but it may just be another incident of “swatting,” reports TMZ.

According to law enforcement sources, cops got a call early Thursday that a disturbing letter threatening to kill everybody in the house was left on the doorstep of Porter’s home.

When officers arrived on scene, no one was home, nor was there a letter.

Six minutes after cops left, another call came in reporting multiple shots were fired, and the house was engulfed in flames. Police rushed back, but again … nothing.

We’re told cops are investigating to see if the calls are connected to a rash of “swatting” back in 2013 … when celebs like Diddy, Magic Johnson, Khloe Kardashian, Clint Eastwood, and Rihanna were victimized.