The team analyzed data of more than 130,000 individuals spanning 49 countries.
They looked at the sodium intake of participants and how this related to the risk of heart disease and stroke among those with and without high blood pressure.
Compared with people who had an average sodium intake, the rates of heart attack, stroke, and death were higher among those who had a low sodium intake, regardless of whether participants had high blood pressure.
Interestingly, low salt intake in the study was defined as an intake of less than 3,000 milligrams a day, which is above current recommendations in the United States.
Furthermore, the researchers found that only individuals with high blood pressure appeared to be subject to the risks associated with high salt intake - defined as more than 6,000 milligrams daily.
Mente says the team's findings are "extremely important" for individuals with high blood pressure.