In the application I was talking about the leads themselves got hot. At 0.01Ω its dissipation is 0.1W The wires inside will also suffer some heating. Another possibility is a DC SSR ( Solid State Relay) which are typically much more robust and have much heavier duty leads or you could drop the same exact MOSFET in parallel with the first to divide the heat. Part of the problem is not whether the device is rated for that is the magnitude of current you have flowing through it. 10A is not an insignificant amount of current.