Denial
If your J-1 visa waiver application has been denied, the Waiver Review Division will not reconsider your application, as the applications are exhaustively considered before making the decision.
However, if it applies to you, you can apply for another statutory basis for the waiver.
Reasoning
If your J-1 visa waiver application has been denied, you will be provided with the specific reason for the same. Generally, the waiver applications are denied when the reasons given for the waiver don’t outweigh the program and foreign policy considerations of the exchange visitor program.
Therefore, applications for those who received U.S. Government funding (programs such as Fulbright/USAID, etc.) are generally denied.
New Information
If your waiver application was denied, but you have new information that may affect your eligibility, a new application may be made (with new information) only in the case of a waiver based on persecution or exceptional hardship to a U.S. citizen (or legal permanent resident), spouse, or child.
However, if you have new information that may affect your eligibility before the decision on the waiver application is made, you can submit that under any basis, as per the details given in the application section.