Ah, ok...some sort of DC-DC charge controller will be your best option to limit the current being pulled out your cigarette lighter socket, however I'm not sure something exists on the market. If you just connected the battery directly to the socket, it could well draw far more than the socket can deliver and as such it will blow fuses in the car as they typically can only delivery up to about 10A, where as your flat leisure battery could draw significantly more than this.
Depending on your fridge how much current it draws etc and what you are planning on putting in it, you could just power it directly from the cigarette lighter socket, then leave it unplugged at night. Its obviously going to get warmer over night, but if you don't open it etc it may maintain temp to an acceptable level. I actually do this with my van in winter, I like you have solar, which in summer give me plenty of power but in winter if i leave the fridge on 24/7 after a few days the leisure battery voltage starts to drop so I turn my fridge off at night. I guess you could conduct a test in your van as to how 'warm' your fridge gets if not turned on over night.