Zaid Alsalami, Shaykh Dr Zaid Alsalami is an Iraqi born scholar, raised in Australia. He obtained a BA from Al-Mustafa University, Qom, and an MA from the Islamic College in London. He also obtained a PhD from... Answered 1 month ago

Bismihi ta'ala

The specific time for the nafilah of fajr is entering of fajr time, which in this example would be from 6:10. So, you should pray nafilatul-subh at 6:10, and then pray salat al-subh after that.  

And Allah knows best.