A fluid leak containment system for containing leaks of fluids, such as, but not limited to fossil fuels, during an underwater extraction process is disclosed. The fluid leak containment system may be configured to capture hydrates from the sea floor. The fluid leak containment system may be formed from a generally extendible, conically shaped containment structure including a plurality of decreasingly sized housing sections extending from an inlet to a smaller sized outlet. The housing sections may be formed from flexible materials that enable easy storage and rapid deployment. The outlet directs fossil fuels into a fluid containment device, such as, but not limited to, a vessel. The extendible containment housing may include an anchoring base configured to retain an inlet of the housing section at a bottom of a water body at a leak site.