The Department for Education will consider what further actions are needed to ensure "vulnerable children in Coventry are sufficiently protected" following the publication of another critical report of children's services in the city.
A Dfe spokesman said the measures introduced at Coventry City Council in the wake of four-year-old Daniel Pelka's death were "simply not good enough".
"While we accept securing sustainable improvement takes time, today's report shows that the pace of change in Coventry has simply not been good enough.
"We will now consider what further actions are needed to ensure all vulnerable children in Coventry are sufficiently protected," the spokesman added.
More top news
Two-year-old Casper Platt-May and his six-year-old brother Corey died in the crash in Coventry on Thursday.
It means the petition, calling for a diverse panel to be appointed to the inquiry, has enough signatures to spark a debate in Parliament.
American businesses have begun severing ties with controversial pro-gun group the NRA in the wake of the latest mass school shooting.