Why can't I receive short messages from abroad at home?

This has nothing to do with opening international long distance and roaming. First of all, it depends on whether China Mobile has opened the information exchange with this country (the international long-distance service of China Mobile website can be inquired). In addition, due to communication problems with foreign countries, it may not be received in China due to multiple channel transfers. I suggest that your friend try to send you another friend's mobile phone number. If you can't get it again, there is something wrong with the other party's network.