Indrasena is the daughter of Nala and Damayanti. SECTION LVII of Nalopakhyana Parva of Vana Parva of the Mahabharata contains it
"Vrihadaswa continued, 'Then at the sacred hour of the holy lunar day of the auspicious season, king Bhima summoned the kings to the Swayamvara......................................... ............................................................................................................................................... And like unto a very god, Nala sported with Damayanti in romantic woods and groves. And the high-minded king begat upon Damayanti a son named Indrasena, and a daughter named Indrasena. And celebrating sacrifice, and sporting (with Damayanti) thus, the king ruled the earth abounding in wealth.'"
The following paragraphs from AADI PARVA SAPTAMAASAASVAASA (CHAPTER SEVEN) of Andhra Mahabharatham says that Indrasena born as Draupadi in her next life.
Vyasa heard the arguments of Drupadaand and Dharmaja. He thought for a while. “Drupada, as per the request of Dharmaja,you perform the marriage of Droupadi with all the five brothers. This is according to Dharma. How I arrived at this decision, if you want to know, let us go inside.I will tell you in detail face to face.” Both Vyasa and Drupada went inside and sat in a lonely place. Vyasa told Drupada the details of previous births of Pandavas and Droupadi. “In the ancient past, there was a saint called Moudgalya. His wife was Indrasena. Moudgalya was suffering from Leprosy. The entire body was afflicted with disease and his skin and limbs were deteriorating day by day. But his wife Indrasena,was serving her husband faithfully, like a true wife.
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“Are you so powerful. If so, open that cave in that hill. I will see” asked Siva. Indra went to the hill,and forcibly opened the cave of the bill. There was a huge dazzling shining in the cave.Four mighty personalities as replicas of Indra, appeared in front of Indra. Indra amazingly looked at them. Maheswara appeared before Indra in his original form.“Indra, you, in these five forms, will take birth on earth. Indra sena, you marry thesefive forms of Indra and fulfil your lust”. Maheswara disappeared. King Drupada,Indra, in his five forms, was born to Kunti, through the Amsas of Yama, Indra,Vayu and Asvins. Indrasena (daughter of King of Kasi) was born to you asYaajnaseni (Droupadi) in the sacred fire. I am giving you Divya Dhrushti (DivineVision).Now you can see the previous five forms of Indra and also Indrasena in her original form. Drupada could see the five forms of Indra shining like midday sun and also Droupadi in her previous form as Indrasena.
Along with the above, it is also mentioned that the Draupadi was daughter of Nala and wife of Mudgal in her previous life as Indrasena(Page: 838)
తాత్పర్యం: ఈమె పూర్వం నలుని కుమార్తెఐన ఇంద్రసేన అనే పరమపతివ్రత. ఈమె మౌద్గల్యుడు అనే మహామునికి భార్య అయింది. అతడు ముసలివాడు; కుష్ఠరోగ పీడితుడై చర్మం ఎముకలు మాత్రమే మిగిలినవాడు. బాధతో కూడిన శరీరం కలవాడు. కడుపు మీద చర్మపుముడుతలు కలవాడు, నెరసిన వెండ్రుకలు ఉన్నవాడు. దుర్వాసనతో కూడినముఖం కలవాడు. దుఃఖంతో జీవించేవాడు, మిక్కిలికోపం కలవాడు, ఊడిపోతున్న గోళ్లు, చర్మం కలవాడు, అటువంటి ఆ మునిని ఆమె కర్మవశంతో, పరమభక్తితో సేవించింది. ఒకనాడు అతడు తిని విడిచినయెంగిలిఅన్నం తింటూ ఉండగా-ఒకరోజు
Along with them, the Wikipedia page about the Rishi Mudgal has the following paragraph
Rishi Mudgal was also been cited for the infamous curse on his wife when she tried to stop him from becoming a saint at the later part of his life. He cursed his wife that in next birth she will have five husbands. In next life, his wife was born as Draupadi, the daughter of King Drupada. Draupadi's husbands were the five Pandavas from Mahabharata.
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Is it true that the Indrasena, daughter of Nala, born in her next life as Draupadi according to the Vyasa Mahabharata or any other authentic scripture?