At the first visit, after making sure they are eligible for the study and performing the baseline testing and procedures, they will be given either Xeomin or placebo (saline injections without medication) injections in the 4 glands that produce saliva. They will not know which injection they received. This visit will take about 2 hours. They will be followed up every month and asked about side effects, have neurologic evaluation and ALS-FRS testing and fill-in the questionnaire for drooling severity. Saliva volume will be measured as done at the first visit. At either Month 4 or 5, participants will receive the second injection. This will be a "cross-over" injection, i.e., if they received Xeomin at the first injection they will receive saline at the second and vice versa. Thus, all participants will receive the study medication Xeomin, either as the first injection or the second injection at 4 months or 5 months. The follow up after the second injection will be one monthly visit for 3 months, with similar evaluations as described above. The follow-up visit will take about 1 hour each.