I don't see why a 2010 would be any different than the 2007 we have, they are the same model. There can be slight differences with the bumper trim, as the aprons changed occasionally under the rear bumper.

Call your dealer, ask them to look up the trailer hitch kit specific to your VIN. If you want to install it yourself, there are lots of instructions posted here.

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2007 X3 3.0si, 6 MT, Premium, White

Retired:
2008 535i, 6 MT, M Sport, Premium, Space Grey
2003 X5 3.0 Steptronic, Premium, Titanium Silver
2002 325xi 5 MT, Steel Grey
2004 Z4 3.0 Premium, Sport, SMG, Maldives Blue