Publish User Profile Service application btw Sharepoint 2013 and Sharepoint 2010 on different farms and domain

Hi,

There is a two ways domain trust and I want users to be able to query info. from both domain.

Users in both domains need to see at least info like,skills, e-mail, phone number and feeds.

Number of staff is 600 Sharepoint 2013 and 300 Sharepoint 2010.

Can I do this  if I publish my profile Service Applications  btw domain and Configure server-to-server authentication between publishing and consuming farms?

Should I be looking at importing profiles or even  consider  Active Directory Federation Services.

thanks

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