The family say the council offered to meet only after journalists approached them about the allegations.
The council have now agreed to make different arrangements for the boy, but the family remain unhappy because the school and council insist the school is safe for him.
The family were supported by Ethnic Minorities and Youth Support Team Wales (EYST) who say racism is common in schools.
“Sadly, schools don’t record a lot of incidents and children don’t report it either, so there’s things to tackle,” said EYST’s Selima Bahadur.
“We’ve seen a rise in racism online, social media. It’s common and these are the trends we’re seeing in schools, children saying these things openly to each other.”
A statement from the school and its governors said: “Ysgol Dyffryn Conwy does not tolerate any racism, bullying or discriminatory behaviour.
“Whenever concerns are raised they’re considered seriously and dealt with in line with school policies, statutory duties and safeguarding responsibilities.
“The school works closely with pupils, families and local authority to ensure support is available and that concerns are considered thoroughly and with care.
“We are confident Ysgol Dyffryn Conwy is a safe and supportive learning environment for every pupil.”
The school said it was committed to equality, inclusivity and respect and would keep working to deal with concerns and help every pupil’s wellbeing.
Conwy council said it was sorry the family were not satisfied with how their concerns were handled.
“Conwy County Borough Council does not tolerate any racist behaviour” they said.
The council accepts the situation has been difficult for the boy and say it has worked to provide support.
“For these reasons we do not accept we ignored the concerns raised by the family.
“We maintain that the school is suitable for the boy.
“We remain focused on supporting him and ensuring suitable arrangements to continue his education.”
