Giorgi Kakava, 10, came to Scotland from Georgia with his mother when he was three.
His mother died in February after a long illness and his grandmother, Ketino Baikhadze, is now his legal guardian.
The pair are both seeking asylum and yesterday she handed over a petition to the Home Office, calling for Giorgi to be allowed to stay in Glasgow.
Rev Brian Casey of Springburn Parish Church in Glasgow has supported the family and got 66,449 names on the petition.
The pastor is the chaplain for Giorgi's school and says: "he is a gentle, thoughtful, intelligent and funny boy. A typical 10 year old Scottish boy."
Theresa May has now promised to ask the Home Office to examine the matter after it was brought up in PMQs by Paul Sweeney, MP for Glasgow North East.
Mr Sweeney said: "My constituent Giorgi is 10 years old. He was tragically orphaned in February.
"He has lived in Glasgow since he was three years old. His only language is English and he speaks it with the same accent as mine.
"Will the Prime Minister promise today that Giorgi will not, under any circumstances, be torn from his school friends in Glasgow and sent to a country that is entirely foreign to him?"
In response, Mrs May said: "The Honorable Gentleman raises a very specific individual case.
"It is right that it be looked at properly, and that is what I will ask the Home Office to do."
Rev Casey said: "I am very pleased that Theresa May has assured the House of Commons that the Home Office will examine Giorgi's case."
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