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Wiktionary
soft spot

n. (context idiomatic English) A sentimental fondness or affection.

WordNet
soft spot
  1. n. a place of especial vulnerability [syn: weak part, weak spot] [ant: good part]

  2. a sentimental affection; "she had a soft spot for her youngest son"

  3. any membranous gap between the bones of the cranium in an infant or fetus [syn: fontanelle, fontanel]

Wikipedia
Soft Spot

Soft Spot is the fourth album by alt-country band Clem Snide; as Eef Barzelay describes it, the album is the "good love songs" counterpart to the bad love songs of The Ghost of Fashion.

Usage examples of "soft spot".

For all their violent preoccupations, they all had a soft spot in their hearts for true beauty.

He did, however, have a soft spot for the sub-human boohooms, and disliked seeing them harassed.

Ye may think it strange, but I still had a soft spot in my heart for Will and Matt.