The terrain facing the banking industry in its quest for regulatory relief became clearer Thursday as federal bank regulators outlined support for modest rollbacks of the post-crisis banking rules.

Appearing before the Senate Banking Committee, officials from the Federal Reserve and other agencies that oversee banks express support for easing some parts of the new regulatory regime for medium-sized banks, but not major changes for big banks. And the broad overhaul of the 2010 Dodd-Frank law sought by House Republicans isn’t in their plans.