Are the trademark categories of the two companies the same? Because the other party is already a well-known trademark, legally speaking, they are protected by all categories. It will be more difficult for you to apply for a well-known trademark, but it does not mean that it cannot be applied for. In addition, it also depends on whether your trademark is registered "first" before its trademark or before its well-known trademark application? If not, that's a problem. If your trademark is a Chinese time-honored brand, it will be more convenient for you to apply for a well-known name. However, it is recommended to consult the local industrial and commercial department and try to negotiate a solution!