The phrase "almost succumbed" is correct and usable in written English.
It can be used to describe a situation where someone nearly gave in to a temptation, pressure, or a difficult circumstance.
Example: "During the intense negotiation, I almost succumbed to the pressure to accept their terms."
Alternatives: "nearly gave in" or "almost yielded".
I almost succumbed to the idea that I couldn't draw.
A jeep carrying spare bikes, and later one of our party who almost succumbed to heat exhaustion, trailed us.
They were stunned by the goal and almost succumbed again five minutes later when Peter Duffield headed against the bar.
This time around, though, I almost succumbed to Simon Jenkins's brilliant repeated tirades against the Games and their many acts of undoubted folly and hubris.
Yet here were shades of this year's Australian Open final when Serena, having also defeated Sharapova in an equally brutal semi-final, almost succumbed to Davenport's heavy hitting.
There were shouts of derision as hundreds of men crowded around her, and she almost succumbed to stage fright before hearing a voice whisper: "Go it, old gal, you're doing fine, give it 'em".
Walking around Santa Fe on a sunny afternoon, you might almost succumb to the happy, restorative illusion that McDonald's, the Gap and Starbucks are not colossal, competition-swallowing international chains, but local concerns.
Florida's small but glamorous Key lime industry has almost completely succumbed to the canker-eradication program; in California, just a few Mexican limes, as they are called locally, are grown for ethnic and farmers' markets.
Vera, almost begrudgingly, succumbs to desire.
Almost everyone succumbs to the D.C. Establishment.
Walker and Rodas were killed almost instantly, succumbing to multiple traumatic injuries and a fire that quickly consumed the car.
