Seyed Saied Alavi, Seyed Saied Alavi is a researcher based in Qom who has studied from the Howzah of Qom and also completed a Pastoral studies program. He is currently a university lecturer in the fields of Shia... Answer updated 11 months ago

In the name of Allah

Yes. Reciting any dua and supplication is allowed during the period.
Keep in mind that touching the sacred names of Allah, the Holy Prophet, and the Imams peace be upon them is forbidden in the state of period.
Also if the Dua contains a verse of the Holy Quran, it's okay to recite them, but be careful not to touch those words. 

WasSalaam.