Silently contemplated sea engulfing you and me (5)

I believe the answer is:
mused
'silently contemplated' is the definition.
'mused' can be an answer for 'contemplated' ('muse' can be a synonym of 'contemplate'). I'm not sure about the 'silently' bit.
'sea engulfing you and me' is the wordplay.
'sea' becomes 'med' (short for Mediterranean).
'engulfing' indicates putting letters inside.
'you and me' becomes 'us' (the two of us).
'med' placed around 'us' is 'MUSED'.
Can you help me to learn more?
(Other definitions for mused that I've seen before include "Reflected in silence" , "Reflected or pondered" , "Contemplated" , "'Meditated, mulled (5)'" , "Was absorbed in thought" .)
