X17 XCLUSIVE - Kim Kardashian Tells X17 She And Reggie Are "Absolutely Not" Engaged

After a whirlwind trip that saw her in Miami for the Superbowl, New Orleans for the Saints' celebration, Las Vegas for Valentine's Day, and New York for fashion week, Kim Kardashian is finally back home in LA -- alone.

Looking as if she misses her better half Reggie Bush, Kim arrived home last night at LAX.

"De-icing the plane then taking off," she tweeted from her seat. "Thank goodness, I miss LA sooo much! So homesick!"

We asked Kim if Reggie ever said he'd propose to her if he won the Super Bowl, and she told us "absolutely not!" Roll tape ...