Manchester City and Paris St-Germain are two of the clubs who have breached UEFA's Financial Fair Play rules.
The two clubs are amongst the richest in Europe, and both have billionaire backing from their owners, but they are amongst 20 clubs who are deemed to have breached the rules
The governing body have offered settlements to all the clubs, but punishments can range from a reprimand, fine or limitations on European squads for next term.
UEFA officials will meet on Thursday and an announcement on all the clubs and their settlement agreements could be made the following day.
The most powerful sanction, that of being excluded from European competition, is not expected to be implemented.
Any outstanding cases will go to an adjudicatory panel for a final decision if agreement cannot be reached.
Under FFP, losses are limited to £37m (45m euros) over the past two years.
City posted combined losses of almost £149m for the past two seasons - £97m in 2012 and £51.6m in 2013.
Qatar-owned PSG have been the club under most scrutiny after they wiped out their losses with a huge and back-dated sponsorship deal with the Qatar Tourist Authority.
Platini said he was unsure if that "innovative" sponsorship deal with a related party played by the rules.
Whether these sanctions will affect either club's movements in the summer transfer markets remains to be seen, as both clubs are already being linked with a host of high profile players, with reports this morning claiming PSG are ready to offer 70 million euros for Juventus' Paul Pogba.