Here's a picture of a Tagora 2.2 GLS pulley. I don't think you can use it on the Murena, at least not without some serious modifications. And new water pumps almost never come with new pulleys.

This summer I modified a Tagora pump. The Famous QCP1011. These are the steps I did. And I think they will probably also work for the 505 turbo and other pump brands.
1. Remove the impeller.
2. Press out the shaft and bearing from the impeller side. For the QCP1011 pump it's no problem to press on the shaft, it won't damage the bearing. Don't try to press it out from the other side you will damage the seal cartridge. A little heat may help but is probably not needed. If you are lucky like me, the seal cartridge will stay in place and you won't have to use any kind of sealer to remount it.
3. Shorten the impeller end of the shaft by about 1 cm. Please make your own measurements using the old pump for reference. I am writing this from memory.
4. Grind down the pump housing by about 9mm. Again, take your own measurements. Using a mill is great but an angle grinder will also work just fine.
5. Grind the sensor mount point of the pump housing. If you forget to do this you will damage you pulley when pressing it on the shaft. It cost me my pulley

6. Press the shaft and bearing back into the pump housing.
7. Press on the impeller.
8. Press on the pulley making sure it is mounted at the same hight as on the old pump and cut down the shaft.
And you are done. Mine seems to be working just fine.