I think it does, among other things, actually investigate cross-border crime but just on a small scale due to limited resources, check this: https://www.frontex.europa.eu/what-we-do/operations/operations
I think it does, among other things, actually investigate cross-border crime but just on a small scale due to limited resources, check this: https://www.frontex.europa.eu/what-we-do/operations/operations