Modular pumpouts and flowline architecture are described. An example apparatus includes a downhole tool to sample fluid from a subterranean formation, and a plurality of fluidly coupled pump modules disposed on the downhole tool. Each of the pump modules includes: a pump having a pump inlet and a pump outlet, where the pump inlet is coupled to a first flowline; a first valve assembly having first, second and third ports, wherein the first port is coupled to the first flowline, the second port is coupled to the pump outlet, and the third port is coupled to the first flowline; and a second flowline not fluidly coupled to the first valve assembly or the pump.