It was a rainy day yesterday and I slipped and fell.
It was raining the other day and I slipped and fell on my bum.
この場合、次のような言い方ができますよ。
ーIt was a rainy day yesterday and I slipped and fell.
「昨日は雨で滑って転んだ」
to slip and fell で「滑って転ぶ」
ーIt was raining the other day and I slipped and fell on my bum.
「先日雨で滑って尻餅をついた」
to slip and fell on one's bum で「滑って尻餅をつく」
ご参考まで!