CAA= Civil Aviation Administration. It can be UK, Finnish, Icelandic or Swedish etc CAA that issues your license. Most likely a JAA CPL or ATPL. National licenses are still being issued by some countries, but to be able to use it to fly aircraft other than from teh sate of issue would require you to go through all sorts of hoops.
If you are trying to find a short cut, there is none. You need a JAA ticket to effectively be able to work in Europe or a few thousand hours in a JAR/FAR 25 aircraft (Transport Category) flying in multi pilot enviroment.
JJ