Psychic Connection
The two leads share a mental link or connection that let each other (or at least one of them) know when the other is in danger.
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1. While You Were Sleeping
Korean Drama - 2017, 32 episodes
Both share prophetic dreams.
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2. Secret Love
Korean Drama - 2014, 10 episodes
The fifth episode with her guardian angel, he's aware of her at all times.
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3. Another Miss Oh
Korean Drama - 2016, 18 episodes
He has precognitive visions that mostly revolve around her.
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4. You Who Came from the Stars
Korean Drama - 2013, 21 episodes
Saw this a long time ago but I believe his alien powers enable him to keep tabs on her even when he's not physically there.
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5. I Hear Your Voice
Korean Drama - 2013, 18 episodes
Male lead has telepathy that doesn't allow him to hear her exclusively but he does use it to read her thoughts quite often.
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6. Kobold
Korean Drama - 2016, 16 episodes
The candle flame summoning was a creative touch (maybe tied to Korean Goblin mythology that I'm unaware of?) and I liked that the birthmark let him hear her call if she was in life or death danger.