Speaking on the courthouse steps on behalf of the family, Aamir's sister, Umbareen Siddiqi, 33, paid tribute to her murdered brother.
"Today's guilty verdict is the right one and as a family we are both delighted and relieved," she said.
"On the 11th of April 2010, a house which was previously filled with love and laughter was brutally destroyed by the callous, vicious attack on our parents and our brother.
"The world has moved on in almost three years since the murder but for us the attack is as fresh as if it happened yesterday."
More top news
The singer had been tweeting in support of migrants when she was bombarded with abusive messages.
Ministers are reportedly considering plans in a bid to lower inward migration.
In a tweet on Saturday, the US president didn't give a reason for his absence but said he wished"everyone well and have a great evening".