I used a new product my friend gave me! It worked wonders! http://www.silversoftforskin.com - It's all natural and silver based. It took care of my eczema while I was on the diet. Even helped with my Acne!
I have used various products labeled 'oil free' but which contained glycerin, including aloe gel and Neutrogena Oil Free moisture, as well as the Alba mentioned above - with good results I believe.
Just curious chobiche, what do the ingredients list look like? Having had a look at their web site, there isn't an actual ingredients list anywhere that I could find. Would be nice to be completely sure for ourselves that it was diet compliant before we buy it.