Evidence of a disturbance on George Street was evident on Monday with police tape round the entrance underneath Tigerlily.
The incident did not take place in the venue itself.
Coco Boho was previously known as Lulu’s and only opened under the new name on Friday.
A 23-year-old man was taken to hospital with serious injuries where he remains in a stable condition. A further two men, aged 20 and 24, were also taken to hospital to be treated for serious injuries.
Enquiries into the incident are ongoing and officers appealing for anyone with information that might assist them to come forward.
Detective Inspector Steven Gray said: “We know that the area would have been busy at the time and a number of people must have witnessed the incident.
“Three men have been seriously injured so it’s imperative we establish exactly what happened.
“Any small piece of information could prove vital, so please do get in touch.”
A Police Scotland spokesperson said: “Enquiries are ongoing and anyone with information is asked to contact Police Scotland via 101 quoting incident 0316 of 24 July.”
“Alternatively, an anonymous report can be given to Crimestoppers on 0800 555 111.”
A spokesperson from Montpeliers (Edinburgh) Ltd the owners of Tigerlily said: “We are shocked and saddened to hear about the incident on George Street last night. Our security team and management were on hand to diffuse the situation however the individuals who carried out the assault had not been in Coco Boho and were not part of our crowd. We are assisting the police with their investigation and our thoughts are with those involved.”
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