滲(にじ)むto run (of liquid), to spread, to blur, to blot, to be blurred, to ooze, to well up (of tears, etc.), to show through (of feelings, emotions, etc.), to reveal itself

バンドエイドに血(ち)が滲(にじ)んでいます。

The band-aid is soaked with blood. {to run (of liquid), to spread, to blur, to blot, to be blurred, to ooze, to well up (of tears, etc.), to show through (of feelings, emotions, etc.), to reveal itself}

インクをつけ過(す)ぎて文字(もじ)が滲(にじ)んでしまった。

I put too much ink and the letters have blurred. {to run (of liquid), to spread, to blur, to blot, to be blurred, to ooze, to well up (of tears, etc.), to show through (of feelings, emotions, etc.), to reveal itself}

感動(かんどう)モノの映画(えいが)を見(み)ている観客(かんきゃく)の目(め)に涙(なみだ)が滲(にじ)んでいる。

Tears are welling up in the eyes of the audience watching a touching movie. {to run (of liquid), to spread, to blur, to blot, to be blurred, to ooze, to well up (of tears, etc.), to show through (of feelings, emotions, etc.), to reveal itself}

先生(せんせい)：「墨汁(ぼくじゅう)が半紙(はんし)に滲(にじ)まないように筆(ふで)に墨汁(ぼくじゅう)をつけ過(す)ぎてはならぬ。」

Teacher: 'You must not dip the brush too much in ink so as not to bleed on the rice paper.' {to run (of liquid), to spread, to blur, to blot, to be blurred, to ooze, to well up (of tears, etc.), to show through (of feelings, emotions, etc.), to reveal itself}

ラブレターや誕生(たんじょう)日(び)レターといった愛情(あいじょう)が滲(にじ)んでいる手紙(てがみ)は捨(す)ててはならぬ。

Letters filled with love, such as love letters and birthday letters, must not be thrown away. {to run (of liquid), to spread, to blur, to blot, to be blurred, to ooze, to well up (of tears, etc.), to show through (of feelings, emotions, etc.), to reveal itself}