Craving often precedes relapse into cocaine addiction. This explains why considerable research effort is being expended to try to develop anti-craving strategies for relapse prevention. Recently, we discovered using the classic reinstatement model of cocaine craving that the reinstating or priming effect of cocaine can be extinguished with repeated priming in rats -a phenomenon dubbed extinction of cocaine priming. Here we sought to measure the potential beneficial effect of this novel extinction strategy on subsequent relapse (i.e., return to the pre-extinction pattern of cocaine self-administration once the drug is made again available after extinction). Overall and contrary to our initial hope, extensive and complete extinction of cocaine priming had no major impact on relapse. This lack of effect occurred despite evidence for post-extinction loss of neuronal responses to cocaine priming in brain regions critically involved in cocaine-induced reinstatement (i.e., the dorsomedial prefrontal cortex and the core of the nucleus accumbens). An effect of extinction of cocaine priming on relapse was only observed when cocaine was available for self-administration under more demanding conditions. However, this effect was modest and short-lived. Finally, we succeeded to trace the origin of our failure to prevent relapse to a persistent, extinctionresistant form of operant behavior that is not directly induced by cocaine. This extinctionresistant behavior is commonly reported, though generally ignored as causally irrelevant, in many other reinstatement studies. We propose that this behavior should become both a novel marker for long-term vulnerability to relapse and a novel target for preclinical development of potential relapse prevention interventions.Cocaine not only evokes intense pleasurable sensations but also induces an overwhelming desire or craving for more cocaine. This latter process is especially obvious in individuals with a diagnosis of cocaine use disorder and is thought to contribute, together with other factors, to precipitate or favor relapse after abstinence 1, 2, 3 . Cocaine-induced craving can be approached and studied in animals using the classic drug reinstatement model 4, 5 . In this model, operant responding for the drug (e.g., pressing a lever) is first extinguished by discontinuing drug reinforcement and then reinstated by drug priming (i.e., passive or noncontingent drug administration). Importantly, after drug priming, reinstated operant responding continues to be non-reinforced as during extinction and, therefore, is thought to be a behavioral expression of genuine drug seeking 6, 7 . This standard model has been extensively used to study the neural correlates and substrates of cocaine seeking and to develop potential anti-craving interventions for relapse prevention 8,9,10 .Using this model, we recently discovered that the reinstating effect of cocaine on previously extinguished cocaine seeking can itself be extinguished with repeated drug priming -a phenomenon dubbed extinction of drug pr...