Read/Write pio cores

In one of my projects I have two processors changing data through pio cores. One processor write data in his output pio and the another one read it in his input data. How can I avoid conflit in this operation. How can I be sure that one processor won't read this data when the other is writing it? I though to use mutex, but I'd like to know if there is another resource or strategy I can use to avoid this conflit. Can the pio cores guarantee by themselves that only one processor have access to it?

Thanks, and sorry for enoying the community again.