同一 + Noun
The adjective 同一 (tóngyī) means 'the same' or 'identical.' It is placed before a noun to indicate that two things are one and the same. Unlike 一样 which compares similarity, 同一 emphasizes that something is literally the same instance, time, place, or entity.
我们俩竟然住在同一栋楼里,太巧了。
Wǒmen liǎ jìngrán zhù zài tóng yī dòng lóu lǐ, tài qiǎo le.
It turns out we actually live in the same building — what a coincidence!
这两件事发生在同一天。
Zhè liǎng jiàn shì fāshēng zài tóng yī tiān.
These two things happened on the same day.
他们在同一所大学读书,但从来没见过面。
Tāmen zài tóng yī suǒ dàxué dúshū, dàn cónglái méi jiànguò miàn.
They studied at the same university but never met each other.