24-year-old Vaishali Mackwana hailing from Saurashtra region slit her wrist inside in the GUC hall when Navjot Singh Sidhu, BJP leader was speaking on the podium.
Another person, 22-year-old Dinesh Chauhan slit his wrist outside the general entrance, said officials. The reason however was not clear.
Vaishali Mackwana in a blood written letter wrote: "Modi ne Malva do," (allow me to meet Modi). She even refused to be taken to the hospital after ambulance staff tried to attend her.
Modi, whose fast has entered its third day will call off his fast at 5 pm today (Sep 19). [Read more: Modi on final leg of fast; political mileage gained]
Top leaders like Sushma Swaraj and Maharashtra Navanirman Sena (MNS) Chief, Raj Thackeray are expected to join him.
Shankarsinh Vaghela, Congress leader who is also fasting at the Gandhi Ashram will end his fast today two hours later to Modi's fast.
At least 100 people were detained by the police after riot victims led by social activist, Mallika Sarabhai protested against Modi disrupting his fast.
Meanwhile, Modi in an open letter to citizens of the nation, a day before his fast was to begin, expressed his sadness over the ill-omened 2002 Godhra Riots that resulted in the death of many.
He in his letter asked fellow countrymen for their blessings and good wishes to start his Sadbhavana Mission, that he said aimed at peace, harmony and brotherhood.