A wet connection system comprises a fixed tubing with an orientation profile and redundant, first and second fixed wet connectors, and an electrical submersible pump assembly (ESP) comprising a wet connector and an orientation element for engaging the orientation profile. The ESP can be reconfigured, for example, by interchanging its component modules so as to change the position of its wet connector with respect to the orientation element, whereby the wet connector on the ESP can be engaged alternatively with either one of the fixed wet connectors when the orientation element is engaged with the orientation profile in the same deployed position of the ESP.