Hi, 

we have in our company sharepoint 2010 Standard edition installed that content some workflow. Now the company want to upgrade to sharepoint 2013 enterprise edition . I wonder if that can be done without reinstall SharePoint in a new server? 

Thanks

Hi,

Are you looking for some thing like this?

https://technet.microsoft.com/en-us/library/cc261946(v=office.14).aspx

https://social.technet.microsoft.com/Forums/office/en-US/0632ee22-ca0e-4c3e-b300-ffafa35aa1d8/does-uppgrading-from-sharepoint-server-2013-standard-to-sharepoint-server-2013-enterprise-require?forum=sharepointadmin

Check this earlier discussed thread having suggested solution on how to upgrade and/or "migrate" SharePoint 2010 Standard to SharePoint 2013 Enterprise

Also, have a look on this article to understand the editions or versions of SharePoint 2010 Products that you can upgrade to specific editions or versions of SharePoint 2013

What Can Happen When You Try to Convert a Standard SharePoint 2010 Farm to Enterprise

SharePoint 2010 to 2013 Upgrade Step-by-Step

Moreover, If you wish you may also try this automated solution which lets you to migrate from SharePoint 2010 to SharePoint 2013 without any interruption.

Hope it helps you!