思いを寄せる おもいをよせる to give one's heart to; to fall in love exp v1 to turn one's mind towards; to think of exp v1 Advanced ➥
思いを馳せる おもいをはせる to think about; to send one's heart out to; to give more than a passing thought to; to think of something far away; to think nostalgically upon (esp. one's hometown) exp v1 Advanced ➥