AFAIK the Freelander 2 was only ever fitted with the Ford 2.2 diesel, which generally speaking is a reliable engine. It's heavily based on the Ford platform and it's one of the most reliable Land Rovers I've known of in the trade. As long as you get one with good history I can't see it being any worse than any other car in that price range.
There was a naturally aspirated 3.2-litre petrol straight-six option as well. We've got one in the family. It makes quite a good noise and is delightfully straightforward compared to the diesel but, yes, it's predictably quite thirsty.
Several of my friends have owned FL2s now and only one has experienced a major problem, which was a rear diff bearing issue after some off-road use. They sold it on rather than tackle the cost of it. It could have probably been fixed without breaking the bank but probably just worth keeping your ears open for any signs of rear-end grief. It is a bit of a weak point, IIRC, and there are seemingly some spares issues with rear-end bits – could be worth looking into.
Otherwise, provided you get one that's been looked after, they seem pretty stout. Completely different machines to the FL1s. Just make sure things such as the Haldex system have been serviced, the automatic transmission fluid has been changed at some point (no renewable filter, so if someone's keeping the fluid clean then that's beneficial) if applicable, etc.
Oh, get one with xenons. The standard halogens are, as is often the way, junk.