Meghan, Duchess of Sussex, at the 6th Invictus Games

Rolf Vennenbernd/picture alliance via Getty

Meghan Marklewas out and about in Los Angeles ahead of hertrip to New York City.

“Landed in LA and on our way to dinner, we ran into Meghan Markle. Totally low key and super friendly, nice conversation,” Su captioned the snap, which was taken in a parking lot at night.

Su shared the image again to open a subsequentInstagramcarousel and shed more light on the surprise meeting.

“Arrived in L.A. and ran right into the fabulous Meghan Markle. Amazing way to start the trip!” Su said.

The image hit social media on the same day that PEOPLEexclusively revealedthat Meghan andPrince Harrywill step out in New York City next week for World Mental Health Day.

The Duke and Duchess of Sussex will be in N.Y.C. on Tuesday, Oct. 10 for their Archewell Foundation’s first in-person event, providing a platform for parents navigating mental health challenges in today’s digital age.

The Archewell Foundation will host ‘The Archewell Foundation Parents’ Summit: Mental Wellness in a Digital Age’ to give voice to families who are passionate about building a safer online world for children and teens, PEOPLE exclusively revealed. The conversation will explore how we as a community, both globally and locally, are creating positive change and supporting one another in developing solutions to empower families and uplift our collective mental well-being.

The summit will feature parents who have experienced tragic loss connected to their child’s social media use. Meghan and Harry have been working with the parents involved in next week’s event behind the scenes, PEOPLE has learned.

Prince Harry, Duke of Sussex and Meghan, Duchess of Sussex meet with NATO Joint Force Command and families from Italy and Netherlands during day five of the Invictus Games

“The families have been engaged with The Archewell Foundation for the past year, bolstering community and driving towards solutions,” a spokesperson for the Duke and Duchess of Sussex tells PEOPLE. “Together, they are united in their mission to share personal experiences, data, and research to ensure the same does not happen to other families.”

The Archewell Foundation Parents’ Summit will be Meghan and Harry’s first trip to N.Y.C. following the Ms. Foundation Women of Vision Awards in May, where the Duchess of Sussex was honored. The following day, a spokesperson for the Duke and Duchess of Sussex said the couple and Meghan’s motherDoria Raglandwere involvedin a “near catastrophic car chase at the hands of a ring of highly aggressive paparazzi.”

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The Duke and Duchess of Sussex also made multiple mental health-related engagements before stepping back from their royal roles in 2020, from abeachfront chatwith OneWave, an Australian surf group dedicated to raising awareness for mental health, and visit to Waves for Change, an organization that supportslocal mentorsproviding mental health services to vulnerable young people living in under-resourced communities in South Africa.

Prince Harry, Duke of Sussex and Meghan, Duchess of Sussex are seen during the closing ceremony of the Invictus Games Dusseldorf 2023 at Merkur Spiel-Arena on September 16, 2023 in Duesseldorf, Germany.

Joshua Sammer/Getty

source: people.com