Kobe Bryant Trying To Repair Marriage

Sources connected with the couple tell TMZ ... Kobe has "aggressively" pursued Vanessa over the last three weeks, and she's been receptive. We're told Vanessa tends to believe Kobe, but still isn't sure the marriage can be resurrected.

And then there's the subject of lavish gifts. We're told Kobe has given Vanessa a very expensive piece of jewelry. We don't know the price, nor do we know how it compares to the $4 million ring she scored after Kobe's infamous dalliance a few years back.