Can someone 80 years old obtain life insurance coverage?

My mother just turned 80 years old. She has slowed down alot these past years, but overall is very healthy for her age. She came to live with me a few years ago. I recently just found out she cashed in her two best policies to pay for my college years ago and let a third policy lapse before she moved in with me. I would like to see if I can buy a policy for her (or she buy one for herself). It can be a small one...if only just to cover her burial expenses because she wants to be buried overseas. Any info will be helpful, thanks.