Initially, many believed the team would surely fail to convince the FIA's international court of appeal to quash the stewards' ruling in Paris.
That is because Red Bull admittedly ignored the readings of the mandatory fuel flow sensor, claiming the devices supplied by a British company called Gill are inaccurate.
Team boss Christian Horner now says: "As more races have progressed, issues have become more evident, new evidence has come to light and new understandings have come to light.
"We believe we have a very strong case," British broadcasters the BBC and Sky separately quote him as saying.
Following a disastrous winter pre-season for Red Bull and its engine supplier Renault, the team is only fourth in the constructors' championship after three races.
Defending Red Bull's push to recover Ricciardo's second place finish, Horner insisted: "Those points are vital, every point is vital."
The FIA says it intends to publish the results of Monday's appeal "as soon as possible" after the hearing is complete.