I think HSBC also allows you to take out insurance just for the child, so in some cases it might work out cheaper to take out hospital insurance with one provider, and outpatient (or outpatient + hospital) for child with HSBC. You can get quotes from their website.
Some insurers will also accept applications with pre-existing conditions but just list them as exclusions so you can't claim for those conditions.
Some insurers will also accept applications with pre-existing conditions but just list them as exclusions so you can't claim for those conditions.