I have a 2012 Monster 1100 EVO I've owned since new and I've put almost 14,000 miles on it since I bought it. These bikes are not super reliable but they are simple and easy to work on. Parts aren't cheap though and if things do go wrong, and they probably will on a bike that you actually use, you will pay good money to have them fixed.
I'm not sure of any issues on that particular model but I do know it has a plastic fuel tank and here in the U.S. we've have issues with them swelling because of the ethanol we put in our fuel here. Ducati has been replacing tanks under warranty but I'm not sure how much longer they are going to replace fuel tanks on the older models.
How many miles on this particular bike? Maintenance on them is frequent and expensive if you're going to pay someone to do it. Every 7,500 miles for valve checks/adjustments and every 15,000 miles you must replace the belts. If the bike you're looking at is anywhere near those miles I would want to know that it has had the required services performed.
During the time I've owned my bike I've had the stator replaced under warranty (this would have cost me over $800 to have the dealer do if it was out of warranty), I've had the starter replaced under warranty, I had a cold stalling issue that turned out to be the exhaust valves being out of spec (too tight), there was a recall on the rear wheel (replaced under warranty) and I had a shifter return spring break which I replaced myself (this requires removing the left side engine cover and removing the flywheel).
The bike is a work of art IMO though and I love it. I love riding it and I love looking at it. That said, the Suzuki I had prior to this was much more reliable. I put 17,000 miles on that bike with zero problems.
Things to check before buying: Does it start easily, does it stay running, does it sputter and pop or does it run smoothly (Ducatis are inherently lumpy at rpms below 3,500, don't confuse this with not running smoothly), does it shift through all the gears, do the brakes work well, do the tires look fresh or worn out, does the bike leak any fluids? Also look at the chain and see if it looks dirty and rusty or clean and well lubed. Also check for excess slack in the chain (if it hangs down too far below the swingarm). Check the fork tube seals for leaking. Look for signs of an accident (road rash on the frame or tank, bent or broken mirrors or turn indicators).
Best of luck. Let us know how it goes and post pics if you get it. And if you do end up getting the bike I would recommend joining any or all of the Ducati Monster forums. They are very helpful and knowledgeable.
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