Facebook is trying to find ways for its review team – which employs thousands of people – to react to such content more quickly.
In addition, the firm has developed software to prevent such footage being reshared in full on its service at a later point.
And it is also exploring the use of artificial intelligence to automatically flag videos and photos that need to be reviewed rather than waiting for other users to report them.
What it hasn’t discussed is the idea of scrapping Facebook Live altogether.
With Twitter and YouTube, among others, offering rival live-streaming products, doing so could put it at a disadvantage.
But as a result, there will inevitably be further outrages and criticism because Facebook Live’s popularity makes it all but impossible for the firm to keep a human eye over each broadcast.