Picking up the tab for a stranger’s parking ticket might be an unconventional approach to establishing your brand in a new market, but Webster Bank is hoping those random acts of kindness will help it start off on the right foot in a new market.

With its feet now firmly planted in 17 new locations across the Greater Boston area, Webster this week began a marketing push to raise its profile. The bank has been rolling its welcome truck across Boston hotspots from Copley Square to Faneuil Hall to the Greenway to the Common, handing out treats and free coffee and tea.

“We really want to showcase to the constituents exactly what it is we’re looking to accomplish in the marketplace and the kinds of products and services we want to offer to them,” said David Miree, Webster’s executive vice president of consumer deposits.

The bank is playing off its tagline “Surprisingly Good Service” and surprising Bostonians with random acts of kindness. Miree recalled, for instance, a Webster banker who saw a parking ticket on a car at Faneuil Hall, paid the ticket, and left a business card with the note “This one’s on me.” In another instance, he said, a team member chased down a bus for an elderly woman who had missed it.

Webster Financial Corp. first came into the Boston market in 2009 with an office in the Financial District. Initially focused on commercial banking, government banking and treasury services, the company had had Boston in its sights for some time when Citibank announced its departure last fall.

Now that Webster has settled into and revamped those new locations, it’s taking advantage of the (sometimes) spring-like weather to make its face known around town.

“We looked for a time when we thought the season would begin to break for us as far as the weather,” Miree said. “From the looks of things, we picked a pretty good week. We’ve all been fortunate with a pretty mild winter.”

Though Webster will wind down this week with an appearance at Frog Pond on Friday night, the bank plans to blanket the market in the coming months with advertising across various media, appearances in subway stations and block parties in the spring and summer.

Miree said, “You’ll see us in print, media, Pandora … We’ll be all over the marketplace and that starts right now.”