With open arms
Definition 1 of 1
Pro Tip 1/3Positive Emotion
This phrase implies a positive feeling of happiness or relief when greeting someone. 
After years abroad, he returned home and was received with open arms.
Pro Tip 2/3Widely Used
Common in everyday English, used in social and informal settings, but also found in formal writing. 
The author's new book was met with open arms by her fans.
Pro Tip 3/3Figurative Speech
It's a metaphorical expression; you don't have to physically open your arms. 
Our proposal was accepted with open arms.