You may still be having dreams, but just cannot remember them. I was having difficulties with dream recall recently, so I started taking a multi-vitamin. The key is the vitamin B-6. Try vitamin B6 rich foods or taking a vitamin supplement. It helped me out a lot. (It took a few nights but it finally worked.)
If you choose a supplement, I would recommend one that only has 100% daily need. Don't overdo it (like those that have 500% daily need or such) as too much B6 can cause other physical problems. Well, it's a start but others have recall spells you could try too. I thought I'd just recommend the simplest first (a physical thing, simple vitamin).
If you are snoring, try sleeping in a different position. Example, if you snore while laying on your back, try sleeping on your side.
Here was another recent thread about dream recall:
http://www.everythingunderthemoon.net/f ... hp?t=15670