Jones is under investigation by American anti-doping officials, but she has not been charged with using performance-enhancing drugs.
Hamilton also tested positive at the Olympics, but anti-doping officials there mishandled his blood samples, so Hamilton kept his medal.
Athletes at the Olympic trials admitted that they wonder who is clean, and anti-doping officials fear the same.
Jones and her lawyers met with anti-doping officials on May 24, when she answered questions from agency officials.
Jones's representatives asked for a meeting with anti-doping officials, which occurred Monday.
Delon Armitage was banned for eight weeks by the Rugby Football Union after a physical confrontation with an anti-doping official on 1 January.
He said that international and French anti-doping officials had met yesterday to discuss the mechanics of reopening the 400 samples.
He gave the syringe to anti-doping officials in Colorado, who sent it to Dr. Catlin.
To prevent use of performance-enhancing substances, athletes must submit to drug tests that are conducted both in and out of competition by anti-doping officials or accredited medical staff.
The deal does not require Conte to cooperate with federal authorities or anti-doping officials about drug use by athletes, said his lawyer, Mary McNamara.