Can high blood pressure be corrected just by avoiding salt completely?

My mum was diagnosed with high blood pressure. She has to take a pill daily and, at home, we all stopped adding salt to our foods just to make cooking easier.

We all get used to it but still my mum had to keep taking the pill. So my question is if is there any "natural" solution to correct this unbalance like avoiding salt or if medicine is inevitable to correct it?

What are your experiences?