The best replacement for warm regards is best regards.

The best alternatives to warm regards are rated as following:
★★★★★  best regards
★★★★  warm regards
★★★★  sincerely
★★★  kind regards
★★  regards
★★  warmest regards
★  regard
  warmly

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Speaking about warm regards, one probably shouldn't forget about thanks.

Other search terms related to warm regards and their ratings are:
★★★★★ thanks
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warm regards
best regards
warm regards