Law Minister Anisul Huq told bdnews24.com that the two have filed mercy petitions.
But the families say they will only believe it if they hear it from the convicts or their lawyers.
In a last-ditch attempt to delay the executions, the families held separate press briefings on Saturday morning, where they did not spell out anything clearly about a submission of mercy petitions.
BNP leader Salauddin’s family told reporters they would write to the President arguing that his trial had not been fair.
Jamaat-e-Islami Secretary General Mujahid’s family, on the other hand, urged the government not to execute him until the Aug 21 grenade attack case had been resolved.
Around 2:30pm, the law minister told bdnews24.com that the two had sought presidential clemency, acknowledging the horrific crimes they committed in 1971 to thwart Bangladesh’s independence.
“Several media quoting prison authorities have reported that Ali Ahsan Mohammad Mujahid has sought clemency from the honourable President, which is totally untrue and confusing,” Jamaat said in a web post.