染(し)みるto pierce, to penetrate, to soak in, to permeate, to sting (wound or sensitive area, etc.), to smart, to twinge, to be infected (with vice), to be steeped (with prejudice), to be influenced, to feel keenly, to make a deep impression

煙(けむり)が目(め)に染(し)みました。

The smoke stung my eyes. {to pierce, to penetrate, to soak in, to permeate, to sting (wound or sensitive area, etc.), to smart, to twinge, to be infected (with vice), to be steeped (with prejudice), to be influenced, to feel keenly, to make a deep impression}

人々(ひとびと)の親切(しんせつ)が身(み)に染(し)みました。

The kindness of the people deeply touched me. {to pierce, to penetrate, to soak in, to permeate, to sting (wound or sensitive area, etc.), to smart, to twinge, to be infected (with vice), to be steeped (with prejudice), to be influenced, to feel keenly, to make a deep impression}

鍋(なべ)でコトコト煮(に)たので具材(ぐざい)の中(なか)まで味(あじ)が染(し)みています。

Since I simmered it in a pot, the flavor has permeated into the ingredients. {to pierce, to penetrate, to soak in, to permeate, to sting (wound or sensitive area, etc.), to smart, to twinge, to be infected (with vice), to be steeped (with prejudice), to be influenced, to feel keenly, to make a deep impression}

汗(あせ)が染(し)みたTシャツには細菌(さいきん)が繁殖(はんしょく)しているに決(き)まっています。

It's certain that bacteria are proliferating in the T-shirt stained with sweat. {to pierce, to penetrate, to soak in, to permeate, to sting (wound or sensitive area, etc.), to smart, to twinge, to be infected (with vice), to be steeped (with prejudice), to be influenced, to feel keenly, to make a deep impression}

冷(つめ)たいものが歯(は)に染(し)みる人(ひと)は知覚(ちかく)過敏(かびん)を発症(はっしょう)している可能(かのう)性(せい)があるとか。

It's said that people who feel a sting in their teeth from cold things might be developing hypersensitivity. {to pierce, to penetrate, to soak in, to permeate, to sting (wound or sensitive area, etc.), to smart, to twinge, to be infected (with vice), to be steeped (with prejudice), to be influenced, to feel keenly, to make a deep impression}