I didn't roam on my mobile phone in China. I sent a short message to my family in Singapore. My family uses a local card in Singapore. Can she receive it?

First of all, you should make sure that your family's mobile phone number is always the same, and my friend is also in Singapore. Like you, I haven't started roaming, so I can answer their calls, but sometimes their phone numbers are different (it seems that they have to go through the transfer desk or something), so in this case, he just sent me a text message first, and then I saved this mobile phone number, so he can send a text message directly to this number.