Can We Pray Voluntary Prayers after The Sunnah of Fajr?
Question

I want to pray after the Sunnah of Fajr and before the Iqamah for the prayer. I want to pray whatever Allah wills I should pray until the Iqamah for the prayer is given. What is the ruling on that?
Praise be to Allah.The scholars (may Allah have mercy on them) differed concerning voluntary prayers after dawn has broken and before the Fajr prayer. The Hanbali view is that it is not allowed, except for the Sunnah prayer of Fajr only. 
It says in Daqa’iq Uli An-Nuha, 1/272: “There are five times when prayer is not allowed , one of which is from the break of dawn until sunrise.”
What is meant is that once dawn has broken, one should offer the two Rak`ahs of Fajr , then refrain from praying, because of the report narrated by Abu Dawud (1278) from Yasar, the freed slave of Ibn `Umar (may Allah be pleased with him), who said: Ibn `Umar saw me when I was praying after the break of dawn, and he said: O Yasar, the Messenger of Allah (blessings and peace of Allah be upon him) came out to us when we were offering this prayer and said: “Let those of you who are present convey it to those of you who are absent: do not pray anything after dawn except two Rak`ahs.” 
The Hadith was classed as authentic by Al-Albani (may Allah have mercy on him) in Sahih Abu Dawud. 
In their view, this is based on the fact that the prohibition has to do with the time – which is the break of dawn, not with the act of prayer. There is another report from Ahmad, which is also the view of the Shafi`is, that the prohibition has to do with the act of prayer; hence, once one has prayed Fajr, one should refrain from praying, because of the report narrated by Abu Sa`id (may Allah be pleased with him), according to which the Prophet (blessings and peace of Allah be upon him) said: “There is no prayer after `Asr prayer until the sun sets, and there is no prayer after Fajr prayer until the sun rises.” (Narrated by Muslim, 827)
According to the Hadith of `Amr ibn `Abasah (may Allah be pleased with him) the Prophet (blessings and peace of Allah be upon him) said: “Pray Fajr, then refrain from praying until the sun rises.” (Narrated by Muslim, 823) What this means is that the time when prayer is not allowed begins when one has prayed Fajr, not when dawn breaks. (See: Al-Majmu`, 4/76; Al-Mughni, 1/428; Al-Mawsu`ah Al-Fiqhiyyah, 7/183) 
Shaykh Ibn `Uthaymin (may Allah have mercy on him) thought that this opinion was more likely to be correct, so from after Fajr prayer until sunrise is the time when prayer is not allowed. But before Fajr prayer there is no time when prayer is not allowed, but it is not prescribed to do anything at that time except offer the two (Sunnah) Rak`ahs of Fajr, because this is what was narrated from the Prophet (blessings and peace of Allah be upon him) and there is no report to suggest that he offered any voluntary prayer other than that. 
Shaykh Ibn `Uthaymin (may Allah have mercy on him) said: “But the correct view is that the prohibition has to do with Fajr prayer itself. As for the time between the adhan and iqamah, it is not included in the prohibition, however it is not prescribed to offer anything in that time apart from the two (Sunnah) Rak`ahs of Fajr. If this is the correct view, then what is the response concerning the Hadith that is quoted as evidence by the author? 
The response to that notes two things: 

That the Hadith is inauthentic
Even if we assume that the Hadith is authentic, the words “There is no prayer after the break of dawn” may be understood as meaning that it is not prescribed for a person to offer any voluntary prayer other than the two (Sunnah) Rak`ahs of Fajr after the break of dawn, and that is true, because it is not appropriate for  a person, after the break of dawn, to offer any voluntary prayer except the two Sunnah Rak`ahs of Fajr. So if you enter the mosque and pray the two (Sunnah) Rak`ahs of Fajr , and the time for the (fard) prayer has not yet come, and you say, I shall offer a voluntary prayer, we would say to you: Do not do that, because this is not prescribed; but if you were to do it, you would not be sinning. Rather we say that it is not prescribed, because the Messenger (blessings and peace of Allah be upon him) only prayed two brief Rak`ahs after the break of dawn, and that is the Sunnah of Fajr prayer only. Moreover, even making the two Rak`ahs lengthy is not prescribed.” (Ash-Sharh Al-Mumti`, 4/51) 

Shaykh Al-Albani (may Allah have mercy on him) said: 
“Note: Al-Bayhaqi narrated with an authentic chain of narrators from Sa`id ibn Al-Musayyab that he saw a man praying more than two Rak`ahs after dawn broke, bowing and prostrating a great deal, and he told him not to do that. The man said: O Abu Muhammad, will Allah punish me for praying? He said: No, but He will punish you for going against the Sunnah. This is an example of the brilliant answers of Sa`id ibn Al-Musayyab (may Allah have mercy on him), and it is a powerful weapon against the innovators who think many innovations are good on the grounds that they are dhikr (remembrance of Allah) and prayer, then they criticise Ahl as-Sunnah for criticising their actions and accuse them of forbidding dhikr and prayer!, When in fact they are only criticising their going against the Sunnah with regard to dhikr and prayer and so on.” (Irwa’ Al-Ghalil, 2/236)
 And Allah knows best.