He likewise narrated—through ʿAbd Allah ibn Rabiʿah—and then traced the chain back to ʿAbd Allah ibn Mughaffal, who reported that the Messenger of Allah ﷺ said: “Between every two calls to prayer there is a prayer, for whoever wishes.”
The Shāfiʿī jurists are unanimously agreed that it is recommended to respond to the muqīm—the one who gives the iqāma—by repeating his words, except during the ḥayʿala (the phrases “Come to prayer” and “Come to success”); at that point one says the ḥawqala (“There is no power nor strength except with Allah”) instead, exactly as they rule for the adhān. The sounder opinion, however, is that a person may at times repeat the ḥayʿala and at other times say the ḥawqala, as was explained earlier under the adhān, issue (14).
They also exclude from this repetition the statement “Qad qāmat al-ṣalāh” (“The prayer has been established”), instructing instead that one say, “May Allah establish it and make it perpetual,” on the basis of a ḥadith that will be cited shortly. That ḥadith, however, is weak.
As far as I can tell, no one explicitly recommends invoking blessings upon the Prophet ﷺ and asking that he be granted the Wasilah after the iqāma as well, apart from Ibn al-Qayyim. In Jalāʾ al-Afhām he writes: “The sixth occasion for sending blessings upon the Prophet ﷺ is after responding to the muʾadhdhin and at the time of the iqāma.” He then cites the previously mentioned ḥadith recorded by Muslim: “When you hear the muʾadhdhin, say what he says, then invoke blessings upon me…” and so forth. He continues:
“Al-Hasan ibn ʿArafah said: Muḥammad ibn Yazīd al-Wāsiṭī narrated to us, from al-ʿAwwām ibn Ḥawshab, from Manṣūr ibn Zādhān, from al-Ḥasan, who said: Whoever repeats the words of the muʾadhdhin, and when the muʾadhdhin says, ‘Qad qāmat al-ṣalāh,’ he says, ‘O Allah, Lord of this truthful call and established prayer, bless Muhammad, Your servant and Messenger, and grant him the rank of al-Wasīlah in Paradise,’ will be granted a share in Muhammad’s ﷺ intercession.”