How to deal with corresponding authors not sharing submission steps? (E.g. Peer reviews & Decisions)
I have decided to post my final update on this as answer to anyone arriving here in the same situation.

The following line of response worked: I have written a formal email (in English, which is not our language of choice for communication) to the first author and PI asking again for the results of previous submissions and to be duly warned of future submissions. I implied (by stating I could just contact the journals but 'felt that was the role of the corresponding author') I'd contact journal editors if ignored for more than 5 days. 

Within less than 12h the first author responded informally describing generally what had come out of previous submissions. I still asked (informally) for the peer reviews and she said she had to ask the corresponding author for it (PI, last author). By that I understood this 1st author had also not seen the result of peer review, and told her this was not fair on her as well. 

Finally after 5 days the PI contacted me formally, and in English (unexpected because it is not easy for him to write in English) excusing for the time taken, informing any future submissions would be correctly reported, and attaching the results of previous peer reviews. I am formally thanking him for the attention given.

I cannot say how the PI feels about this (I now live on the other side of the planet) nor whether there will be further collaborations. Whatever the reasons, his response was appropriate, thus I am recommending this line of action. On a personal note, I would not have escalated this to the journal editors unless I was sure there was something else out of place. 

Thanks to all for the suggestions given.