Fetching details from the dictionary...
to ooze out; to seep
to show through (of emotions, etc.); to reveal itself
「滲み出す」 has another reading with different meanings.
to ooze (out); to seep
傷口きずぐちから血ちが滲み出しにじみだした。
Blood oozed from the wound.
彼かれの優しやさしさが滲にじみでみ出ている。
His kindness shows through.
汗あせが額がくから滲み出しにじみだしていた。
Sweat was seeping from his forehead.