Only a partial answer, that will hopefully be helpful to someone else:
Workshop on “Unresolved issues in Mediterranean Sea Level” Palma de Mallorca, 30th May – 1st June 2011
Session 3
> Mass changes in the nearby Atlantic or winds around Gibraltar can induce sea level changes in the whole basin.
This is not peer-reviewed, and it is about ocean currents, not atmospheric conditions, which I would have though would be closely related but, it says:
> Recent efforts have been devoted to couple ocean and atmospheric models. However, we feel that there is still a lack of clear conclusions about the improvements lead by coupled models in front of forced models.
There is a strong wind weather pattern around Gibraltar called Viento de Levante, which was researched in 1952, but I can't see the actual paper :-(