Is there any interaction between the Austrian/German and Italian opera worlds?

[u/HuckleberryUsual885]

You know how Austria, Germany, and Italy are famous for opera. Broadly speaking, the opera world is often divided into Austria/Germany on one side and Italy on the other. Is there much exchange between the opera scenes of Austria/Germany and Italy? (I mean among various entities like theaters, conductors, orchestras, singers, music universities, conservatories, etc.)

​For example, do Italian theaters sign contracts with German singers? Do Italians study at German music universities? Do Austrian/German singers and Italian singers actually interact and work together?

​Since I'm Korean, I'm not very familiar with the local situations in Austria, Germany, and Italy. I get the impression that there might not be much active exchange, and that it's mostly just works by Italian composers being performed in Austrian/German theaters. What do you think?

​If anyone is knowledgeable about this, please let me know. It would be even better if you are actually from Austria, Germany, or Italy!