Sobbing hard while trying to suppress the voice; sobbing with convulsive gasps.
葬式で彼女はむせび泣き、しばらく立ち直れなかった。
At the funeral she sobbed uncontrollably and couldn't compose herself for a while.
映画の悲しい場面で、隣の席の人がむせび泣いていた。
During the sad scene in the movie, the person in the next seat was sobbing.
手紙を読んで母はむせび泣き、言葉を詰まらせた。
Reading the letter, my mother sobbed and choked on her words.