"late in submitting" is correct and can be used in written English.
For example, "The deadline for the report is tomorrow, so please try to avoid being late in submitting your work."
Prosecutors had contended that the prisoner, Joseph Amrine, was too late in submitting recantations from his accusers.
Typically, only new presidents are notably late in submitting budgets because they take office shortly before the due date, currently the first Monday in February.
But after a dispute over why she was several hours late in submitting her academic schedule for the spring semester, Butler was sent back to the bench.
The country was notably late in submitting its national plan on curbing emissions, known as an INDC - intended nationally determined contribution - which focused on renewable energy.
The trust was also late in submitting financial reports, in some cases as long as two years after their deadline.
(Author's note: Perhaps it's a good thing I was obviously too late in submitting this to run on Mother's Day so as not to cast a pall over the sentimental celebration. But it's not too late to think of next year!
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The great architect was never to return to Australia, although late in life he submitted designs for new interiors (now in place), which were asked for by the Sydney Opera House Trust a few years before he died in 2008.
Mailer was always late submitting his copy, and when mistranscriptions crept in he was furious with Tallmer.
After a series of protracted fiscal fights, President Obama is late submitting his 2014 budget proposal to Congress just as President Ronald Reagan was under similar circumstances in 1988.
