There are university cafeterias in Exactum and Chemicum offering a warm lunch. Unicafe Physicum offers salads, sandwiches and paninis. The menus can be found at https://unicafe.fi/en/ by choosing Kumpula as the area.
The Finnish Meteorological Institiute has its own cafeteria called Tornado, just pick up a visitor pass when you enter the buuilding. Note that the cheaper price shown on the menu is for the Meteorological Institute staff only, visitors have to pay the higher price.
In addition, there are multiple places on the second floor of the nearby Arabia shopping centre serving a lunch buffet.