If you wish to live and work in the UK indefinitely you will need to meet the requirements for indefinite leave to remain. However, if you cannot, you may still be able to apply through the discretionary leave to remain route.
Discretionary leave to remain can be granted by the UK government where it would be unreasonable to request of you to leave your family and personal life in the UK. This immigration status exists to allow individuals to remain in the UK on compassionate grounds, where it would be unjustifiably severe to remove them from their UK lives.
Examples of where discretionary leave to remain could be granted
Where an individual living in the UK has become terminally ill or where they are suffering from a serious medical condition for which they are in treatment in the UK the Home Office may decide that they will allow this person …