Raise an issue with them that you feel you're being underpaid. I've done this in 1-on-1 meetings with managers in the past. If they think you're worth keeping, they will do what they can to give you a raise when the time comes. But keep in mind that other people on their team maybe be underpaid more than you, so they might try to correct those people's salaries first.
At least from what I've seen, managers at some level (your direct manager, or their manager) are given some numbers of dollars to increase the salary of the employees. They have to choose how to distribute that between their people.
Depending on the company, it may take you moving to a different company to get what you're worth. Most companies know that transitioning jobs is difficult and a lot of people won't go through the effort. Because of this they will underpay people that they don't think are going to leave. If you want to try, apply around, interview, and get a job offer at another company. Present it to your manager and see what they say. Some companies will counter-offer, while others have policies where they will not counter-offer.
Story: a friend was offered a contracting position with the same company he already worked for (from the contracting firm, the company didn't know yet), that would be paying far more than he was making. He didn't take it and his manager didn't do anything to correct his salary. But it was pretty funny to see.