Remote surgery provides opportunity for enhanced surgical capabilities, wider healthcare reach, and potentially improved patient outcomes. The network reliability is the foundation of successful implementation of telesurgery. It relies on a robust, high-speed communication network, with ultra-low latency. Significant lag has been shown to endanger precision and safety. Furthermore, the full-fledged adoption of telerobotics demands careful consideration of ethical challenges too. A deep insight into these issues has been investigated during the first Telesurgery Consensus Conference that took place in Orlando, Florida, USA, on the 3rd and 4th of February, 2024. During the Conference, the state of the art of remote surgery has been reported from robotic systems displaying telesurgery potential. The Hinotori, a robotic-assisted surgery platform developed by Medicaroid, experienced remote surgery as pre-clinical testing only; the Edge Medical Company, Shenzen, China, reported more than one hundred animal and 30 live human surgeries; the KanGuo reported human telesurgical cases performed with distances more than 3000 km; the Microport, China, collected more than 100 human operations at a distance up to 5000 km. Though, several issues-cybersecurity, data privacy, technical malfunctions - are yet to be addressed before a successful telesurgery implementation. Expanding the discussion to encompass ethical, financial, regulatory, and legal considerations is essential too. The Telesurgery collaborative community is working together to address and establish the best practices in the field.