Caution: Translations of Quran and Ḥadīth may lead to possible misapplications and misinterpretations. This site is intended for students of sacred knowledge that are proficient in comprehending classical Arabic and have a strong foundation in Islamic sciences. Also note that religious injunctions rely on several aspects beyond what one may glean through reading individual aḥādīth.
Qurʾān Bukhārī Muslim Nasāʾī Abū Dāwūd Tirmidhī Ibn Mājah Mālik Aḥmad Dārimī Ḥākim Ibn Ḥibbān Ṭabarānī Nasāʾī's Kubrá Bayhaqī al-Luʾluʾ wa-al-Marjān Ibn Rajab's Fifty Riyāḍ al-Ṣāliḥīn Aḥmad's Zuhd Suyūṭī
tabarani:20670 – Abū ʿArūbah al-Ḥusayn b. Muḥammad al-Ḥarrānī > Muḥammad b. Wahbb. Abū Karīmah Abū al-Muʿāfá > Muḥammad b. Salamah > Abū ʿAbd al-Raḥīm > Zayd b. Abū Unaysah > Hishām b. ʿUrwah from his father > Asmāʾ b. Abū Bakr

[Machine] I heard Asmaa, the daughter of Abu Bakr, say: "My mother came from Makkah to Madinah during the truce of Quraysh, while she was still a polytheist. So I asked the Messenger of Allah, 'Should I maintain ties with her even though she is a non-believer?' The Prophet of Allah, ﷺ , said to her, 'Yes, maintain ties with her.'"  

الطبراني:٢٠٦٧٠ – حَدَّثَنَا أَبُو عَرُوبَةَ الْحُسَيْنُ بْنُ مُحَمَّدٍ الْحَرَّانِيُّ ثنا مُحَمَّدُ بْنُ وَهْبِ بْنِ أَبِي كَرِيمَةَ أَبُو الْمُعَافَى ثنا مُحَمَّدُ بْنُ سَلَمَةَ عَنْ أَبِي عَبْدِ الرَّحِيمِ عَنْ زَيْدِ بْنِ أَبِي أُنَيْسَةَ عَنْ هِشَامِ بْنِ عُرْوَةَ عَنْ أَبِيهِ قَالَ

سَمِعْتُ أَسْمَاءَ بِنْتَ أَبِي بَكْرٍ تَقُولُ قَدِمَتْ أُمِّي مِنْ مَكَّةَ إِلَى الْمَدِينَةِ فِي هُدْنَةِ قُرَيْشٍ وَهِيَ مُشْرِكَةٌ فَقُلْتُ يَا رَسُولَ اللهِ إِنَّ أُمِّي أَتَتْنِي وَهِيَ رَاغِبَةٌ أَفَأَصِلُهَا؟ فَقَالَ لَهَا نَبِيُّ اللهِ ﷺ «صِلِيهَا»  

See similar narrations below:

Collected by Ibn Ḥibbān

ذِكْرُ الْإبَاحَةِ لِلْمَرْأَةِ وَصْلَ رَحِمِهَا مِنَ الْمُشْرِكِينَ إِذَا طَمِعَ فِي إِسْلَامِهَا

ibnhibban:452 – al-Ḥusayn b. Muḥammad b. Abū Maʿshar > Muḥammad b. Wahbb. Abū Karīmah > Muḥammad b. Salamah > Abū ʿAbd al-Raḥīm > Zayd b. Abū Unaysah > Hishām b. ʿUrwah from his father > Asmāʾ b. Abū Bakr

[Machine] I heard Asma, the daughter of Abu Bakr, say, "My mother came from Mecca to Medina during the truce of Quraysh, and she was a polytheist." So I said, "O Prophet of Allah, indeed my mother came seeking."  

ابن حبّان:٤٥٢ – أَخْبَرَنَا الْحُسَيْنُ بْنُ مُحَمَّدِ بْنِ أَبِي مَعْشَرٍ قَالَ حَدَّثَنَا مُحَمَّدُ بْنُ وَهْبِ بْنِ أَبِي كَرِيمَةَ قَالَ حَدَّثَنَا مُحَمَّدُ بْنُ سَلَمَةَ عَنْ أَبِي عَبْدِ الرَّحِيمِ عَنْ زَيْدِ بْنِ أَبِي أُنَيْسَةَ عَنْ هِشَامِ بْنِ عُرْوَةَ عَنْ أَبِيهِ قَالَ

سَمِعْتُ أَسْمَاءَ بِنْتَ أَبِي بَكْرٍ تَقُولُ قَدِمَتْ أُمِّي مِنْ مَكَّةَ إِلَى الْمَدِينَةِ فِي هُدْنَةِ قُرَيْشٍ وَهِيَ مُشْرِكَةٌ فَقُلْتُ يَا نَبِيَّ اللَّهِ إِنَّ أُمِّي أَتَتْ رَاغِبَةً