Thanks for the replies!
fitengineer: Yes, pain is only in the left shoulder. I might try the exercises you posted - however I dropped Snatch some time ago to let the body heal. The top of the shoulder is pain-free now. Now am trying Clean & Jerk, the grip is closer which might help because with Snatch it was indeed the wide grip that hurt.
bacher: I dropped barbell bench pressing altogether some time ago. It was giving me shoulder pain in front of the left shoulder (different place than the Snatch pain in the above photo). After that, I've concentrated on pulling exercises.
Now, after doing some C&J, I can feel slight, similar to Snatch type pain in the left shoulder. It's not as bad but can feel it when arm is in certain positions (not during the C&J, but during daily activities). The pain is in different place than the Snatch pain but indeed feels quite similar.
To be honest, because of my tendency to get pain in the left shoulder, I've given thought to different reasons. One probable could be that I have a tendency to roll the left shoulder forward, bringing it further forward than it should. This does not happen to the right shoulder: and indeed there has never been a problem with that shoulder. So perhaps I'm not keeping left shoulder back and down in the gym either and that causes problems?
Have to pay attention to this next time...