Dimitar,
Not sure if you have the engine, the data plate or just pictures of the number. Sander describes the situation, that the frequent engine changes during wartime made it nearly impossible to connect an engine number with a particular airframe. If you have the engine, there is a forging stamp on it that can tell where the casting was made. I did some research when the He219 was discovered on the Denmark coast some years ago. There were no identifiable markings ( Stmzch or Wrk Nr or Data Plate ) to determine what aircraft it was. One of the DB603s was found and the Wrk Nr. was readable. I contacted Deutsches Museum where Heinkel wartime records are archived, and they responded that no info on correlating engines to airframes existed.
Researching captured documents you can certainly come across Aircraft Numbers with their engine numbers, but then if they moved to the front lines, there is no guarantee that the engine was not replaced at any point.
I know also that the 'power egg' concept used by the Germans, resulted in having specific 'power egg' Wrk.Nr. different from the engine Wrk. Nr.
The US maintained robust paperwork on airframe to engine in WWII, as all the MACRs report the airframe and engine(s) serials. They also listed the serials of the machine guns on those reports, which has resulted in proper identification of many US aircraft crash sites.
One person I go to as the master of German Engine numbers is Steve Sheflin, who is on LRG. He maintains a database of known and existing WWII German engines.
Attached is a casting mark from one of the DB603s from the He219 at NASM.
Tony