In some cases we have date format problem in SharePoint DatePicker, we can have American Format “mm/dd/yyyy” instead Gregorian Default format “dd/mm/yyyy”. In SharePoint 2010 we can change it easily.
There are a Site (SPWeb) configuration that allow us do it. I will explain it:
1. Site Actions
2. Site Settings
3. Regional Settings

4- Locale Configuration

You can select any locale distinct to United States in order to get this format “dd/mm/yyyy”. For example if I select Spanish format, it look like this picture:

References:
- Setting the date format on sharepoint
Regards!
JQ