DeepPCB, from InstaDeep, lists KiCad (with a plugin) among its supported inputs. You upload a placed board, route critical nets yourself if you like, and its reinforcement learning engine routes the rest and returns the board in the same format. As listed on DeepPCB's pricing page, September 2026, there is a free 30-minute trial and then prepaid hours from $30 for one hour; the pay-as-you-go tier covers up to 8 layers and 2,200 pins.
Quilter accepts KiCad projects and does placement as well as routing, returning several candidates. Its docs ask for a single board outline on the Edge.Cuts layer, footprints already loaded in the board file, and a netlist that matches the schematic, and they recommend placing connectors yourself. Quilter prices per project by pins to route, through its sales team.
DeepPCB runs in the cloud, and so does Quilter unless you pay for its self-hosted option, which means your design leaves your machine. If that matters for your project, read each one's terms. For a closer comparison of the two, see Quilter vs DeepPCB.