Even traditional Western religions show evidence in favor of reincarnation. For example:

Bible: Old Testament

Malachi 4:5: "Behold, I will send you Elijah the prophet before the coming of the great and dreadful day of the Lord."

Bible, New Testament

Matt. 17:12&13: "I tell you that Elijah has already come and people did not recognize him…Then the disciples understood that [Jesus] was talking to them about John the Baptist."

Matt. 11:14: "..and if you are willing to believe their message, John is Elijah, whose coming was predicted. Listen, then, if you have ears!"

John 3:6: "A person is born physically of Human parents, but he is born spiritually of the Spirit."

John 9:1 The disciples asked Jesus: "Teacher, whose sin caused him to be born blind? Was it his own or his parents' sin?" (How could his fault be considered when he was born blind?)

Note: History shows that early Christians generally accepted the belief in reincarnation until the teachings of Origen became unpopular and the belief in reincarnation was banned (see First Council of Nicaea 325 CE and Second Council of Constantinople 553 CE).

Qur'an

"Allah hath caused you to grow from the earth, and afterwards He maketh you return thereto, and He will bring you forth again."

Bhagavad-Gita

2:22: "Even as a person casts off worn-out clothes and puts on others that are new, so the embodied Self casts off worn-out bodies and enters into others that are new."

4:5 Krishna: "Many a birth have I passed through, and so have you. I know them all, but you know them not."

Kabbala

Here we find the concept mentioned in form of the "Gilgul".