Since the capital rules were introduced by the EU in 2016, markets have evolved, with central banks pushing interest rates into negative territory to fight the coronavirus pandemic.
The European Commission will propose draft amendments to the rules and their implementing measures next summer, the EU executive's head of insurance Didier Millerot told an online event held by trade body Insurance Europe.
In Britain, some insurers and lawmakers want to scale back Solvency II, introduced into UK law as part of Brexit preparations, and the Bank of England has signalled there will be some changes at least.
Britain will no longer be bound by EU rules after Dec. 31, when post-Brexit transition arrangements expire, but Olav Jones, deputy director general, Insurance Europe, said Britain will be seeking similar changes to those EU insurers want to make.
"They have a similar market. Largely we have the same business models and the same challenges and seeking the same improvements to Solvency II," Jones said.
Alban de Mailly Nesle, group chief risk and investment officer at French insurer Axa, which has operations in London, said he expected the bloc and Britain to have "relatively similar" regulation in the future.
Major divergence could complicate Britain's access to the EU insurance market in future.
Solvency II does not allow for a prolonged period of negative interest rates, and current capital charges should change to reflect such rates were now reality in the euro zone, Insurance Europe said.
The trade body said EU insurance watchdog EIOPA's went too far in its view on how deep rates could go.
"The floor that EIOPA is proposing is far too low and negative," Jones said.
"We recognise this needs to be dealt with, but we do have some different views about exactly how it should be done."
(Reporting by Huw Jones and Carolyn Cohn,; Editing by Tomasz Janowski)