There isn't any reincarnation or transmigration of souls
Jews, Bahai and many other sects believe there is the reincarnation; Jews say if the man is righteous then his soul will be reincarnated in some child of the kings and rich men, while if he is wicked and evil then his soul will be reincarnated in the body of some animals.
But all this is false and imagination and delusions. It is only guessing, deeming something that they wish, which is not any real.
Man lives two lives: material in this World and spiritual in the afterlife;
one is the material one in this World, then he dies and his soul or spirit will separate from his body;
then if he is righteous and devoted to God alone without associating with God any other being
→ then he will prosper in the afterlife.
While if man is atheist, disbeliever, idolater and one that associates Jesus, Moses, Ali or others with God in addition to wronging people → then he will lose and suffer in his afterlife.
Then when man dies, he will not return to this World to live again in his material life.
This is in the Quran 23: 99-100
حَتَّى إِذَا جَاء أَحَدَهُمُ الْمَوْتُ قَالَ رَبِّ ارْجِعُونِ .لَعَلِّي أَعْمَلُ صَالِحًا فِيمَا تَرَكْتُ كَلَّا إِنَّهَا كَلِمَةٌ هُوَ قَائِلُهَا وَمِن وَرَائِهِم بَرْزَخٌ إِلَى يَوْمِ يُبْعَثُونَ
The explanation:
(Till when death comes to one of them, he says: "O [angels of] my Lord, return me [to the Worldly life.]"
"That I may do good in [the wealth] that I left behind."
No, this is merely a word that he speaks; but behind them there is a barrier until the day they will be sent forth [to the gathering-together of the Judgment.])