President Felix Tshisekedi met his top security advisors on Tuesday to discuss responses to the attack.
The Italian ambassador, Luca Attanasio, and a military policeman travelling with him were killed, the Italian foreign ministry said in a statement.
In recent months, Tshisekedi has chipped away at the influence of Kabila, with whom he formed an awkward power-sharing deal following a disputed 2018 election.
Ethiopia has also accused Sudan of crossing into its territory.
The last person declared recovered from Ebola in Equateur was on October 16.
The election of Christophe Mboso, the oldest member of parliament, is the latest in a string of setbacks for Joseph Kabila
The two countries have recently clashed over contested land at the nations’ border.