An obvious, yet effective way to put a stealth hug between two characters, specially in No Hugging No Kissing worlds.

One of the characters, usually the female, trips over something or feels faint. Or maybe is jumping from a high place. Then, the other character, usually the male, catches him/her just in time to prevent him/her to hit the ground.

However, both characters don't move away from each another right away. They take their time. Maybe to comfort each other (which may evolve to Cry Into Chest). Or maybe they are too busy looking into each other eyes. Some extreme cases can even involve an Accidental Kiss, and some more moderate ones can lead to an Almost Kiss. If played right, it can be a Crowning Moment Of Heartwarming.

Compare to Accidental Hug and The Glomp.

Examples:

Anime and Manga:

• In a Maison Ikkoku comic book, Kyoko is trying to fix the porch globe light when Yusaku arrives, startling her. Kyoko falls off the ladder and not only do they end up hugging as he catches her, but their lips touch as well. Since no one else saw it happen, and they're both supposed to be dating other people, they decide to pretend all that happened was that Kyoko slipped and dropped the globe.
• In Pandora Hearts Gil frequently does this to Oz.
• Tactics: Haruka once does this to Kantarou.

Film

• The Empire Strikes Back. While the Millenium Falcon is inside the asteroid, there's a sudden tremor. Princess Leia falls backward and Han Solo catches her. He doesn't let go immediately, and continues to hold her even after she gets uncomfortable and asks him to let go. They then have a bit of banter that's intended to foreshadow their growing attraction to each other.
• In Aladdin, when the titular character leads Jasmine to his hideaway, the girl trips and falls into Aladdin's arms. Needless to say, they don't brake the embrace right away.

Live Action TV

• Used more than once as an explanation by Rene in Allo Allo to his wife as to why she had just caught him and one of his mistresses wrapped around each other.
  "You stew-pid woman, can you not see the poor girl has just tripped and I was 'elping steady her."

Video Games:

• In The Legend Of Zelda Skyward Sword, when Zelda wakes up from her thousand years old slumber, she falls down but Link catches her just in time in what looks like a tender hug.
• In Metal Gear Solid good ending Meryl drops from the remnants of Metal Gear REX into Snake's arms. The whole base is falling appart around them, but they just don't seem to care.
• In Tales Of Vesperia, after Estelle manages to break Alexei's mental control, she is in mid-air. She falls down and Yuri catches her. They don't seem to be in any rush of braking the "catch" afterwards.