There are a few more Special Needs Centers available, giving hope to those who are unable to go through the regular schooling channels.

Shafallah Center for Children with Special Needs
The Shafallah Center, located in the capital city of Doha, currently provides quality special education, intensive physical therapy and family support services. The Shafallah Center serves children with autism, learning disabilities and mental and physical disabilities. Services offered at the center are educational, vocational, psychological, and therapeutic; including physical therapy, occupational therapy, speech therapy, behavior analysis/therapy and music therapy. The staff at the center are comprised of Qataris, people from the Middle East, as well as all over the world. Arabic is the main language as a majority of children speak Arabic only, some are able to understand English.
Website: http://www.shafallah.org.qa/ 
Tel: (+974) 495 6666

The Learning Centre
For pupils with learning Difficulties or Attention-Deficit Hyperactivity Disorder (ADHD), but who enjoy an average or above average aptitude offers education and speech therapy. The Center works hand in hand with over 30 schools in the country to provide a variety of services for all children. It also runs special weekly workshops for parents and teachers.
Website: http://www.qf.org.qa/
Tel: (+974) 492 7888

Sunbeam Centre of Excellence
Is for children aged 12 and under who have learning difficulties. The curriculum is based on the British Special Educational Needs programme and the centre has qualified staff, teachers, therapists and psychologists.
Info: sunbeams@qatar.net.qa
Tel: (+974) 444 0108

Cedars Tutoring Centre
Is a licensed British curriculum tutoring centre that helps primary and secondary school children with special needs.
Website: www.cedarstutoring.com 
Tel: (+974) 468 8192

Doha Montessori British School
Doha Montessori British School will also consider special children.  They will first need to undertake an initial assesment.
Website: www.doha-montessori.com
Tel: (+974) 450 2257/59

Al Noor Institute for the Blind
Is a learning centre for visually impaired and blind children age kindergarden to adult.
Info: alnoorqatar@windowslive.com
Tel: (+974) 481 3498 or (+974) 482 3630

The Qatar Society for Rehabilitation of Special Needs
May be able to assist you finding an option that works best for you.  They have an Education Centre, Boys Centre, Girls Centre and Cultural Centre.
Tel: (+974) 466 3232

Al Duhail Girls Independent Preparatory School
Providing special programs for all children who have individual learning needs, as in learning difficulties, physically handicapped, and those with gifts and talent.
Website:www.english.education.gov.qa/content/schools/detail/3711
Tel: (+974) 479 4053/54

Dr Victoria Hensen - Clinical Psychologist
Clinical Psychologist Dr Victoria Hensen works with children & adults with behavioral and learning challenges. Dr Hensen also offers play therapy for children.
Info: drvictoriahensen@gmail.com
Tel: (+974) 539 5692

Speech-Language Therapy Unit
Saleh Shaalan is a Canadian SLP, with Masters degree in speech from McGill University and SL-P (C) from CASLPA. He is currently the Head of the Speech-Language Therapy Unit at Hamad Medical Corporation and can be contacted at.
Info: salzufire@hmc.org.qa 
Tel: (+974) 439 7645