Similar efforts from Boston Mayor Michelle Wu stalled in the State House last year. She is hoping to soften tax increases by March.

Now that tax bills have hit mailboxes, Mayor Michelle Wu is appealing to legislators again for relief for Boston homeowners — and seeking permission to offer rebates at the very least. The mayor is announcing an “expanded” tax relief home-rule petition Monday that aims to help residents hit with “the single largest jump in the residential share of the property tax levy since 2007,

The new proposal is aimed at blunting the impact of steep increases to residential property tax bills sent out earlier this month, the mayor said.