"mutual visits" is correct and can be used in written English.
You can use it to refer to visits that are reciprocal. For example, "The two countries agreed to establish mutual visits between their officials."
Businesspeople are excited, as delegations start making mutual visits.
Also today, China and Japan announced that for the first time they would conduct mutual visits by warships.
Since then, we have held mutual visits and begun to work on substantive programs to benefit both organizations.
In many, but by no means all, such cases, betrothal has been marked by various forms and degrees of mutual visits and gift exchange between the two families.
Russia and the Netherlands had designated 2013-14 as a Friendship Year, with cultural exchanges and mutual visits by the countries' leaders.
Our relations are already marked by a very high level of dialogue, and the meetings on highest levels, the telephone calls, the mutual visits have contributed to this intensive dialogue.
Much effort has been made at FER to collaborate with these industries through mutual reciprocal visits of university and industry personnel as well as student internships.
"The community is just great, in terms of mutual studio visits or just being here while the work is happening," he said.
With Scrum Alliance, I launched a Learning Consortium for the Creative Economy, a group of eleven firms that went on mutual site visits to see whether this different way of running firms actually works.
When it was published, I sent him a copy, and I sent him other books when mutual friends visited Vietnam.
For more on mutual funds, visit the Forbes Mutual Fund Center: www.forbes.com/funds/.
