It came to visit me these days, 

the homesickness. It's not that kind of deep depressing homesickness, more of a little longing and missing, and the insight of how much I value the people in my life back home. You know, those moments in between the excitement and fun stuff when you feel a bit alone and you just want to go grab a coffee with that person that happens to be some thousands of miles away (5803 miles to be exact). Or maybe your'e just tired of everything being new and different and you just want to be at home, taking the dog for a walk or something (just guessing). But there are some things that one can do to make it easier. Here are some stuff you can try if homesickness suddenly strikes:

Write letters -Handwritten letters or postcards to friends, family or other loved ones. It is somehow much more satisfactory than writing an email, and the persons will most probably be surprised and happy to get a letter in the mail. It is fun to look for the postcard that you think suite the person you have in mind, and really think of what you want to put on that paper, especially if it is a postcard -you don't have that much space (and no delete button). 

Listen to music -The eternal lifesaver, listen to whatever you feel like, sad or happy music. Nothing fills the emptiness like music does. Put on those favorite songs and sing along. This song made me cheer up and smile this time, it also gives me that home feeling since it's a band from Gothenburg that I started listening to many years ago:  https://soundcloud.com/musicmusicmusicjazztrio/buen-sabor 
Maybe it can cheer you up as well. 

Do some exercise -It is scientifically proven, it's really good for you, both mentally and physically. Dance or take a walk or put your body in motion somehow. It will put your brain at ease and your thoughts to rest and you will feel more relaxed. 

Yoga -Some stretching, some deep breathing, maybe some balance exercise and some strength. Get connected to your body for a while. Same as above really, but still worth mentioning. 

Skype or facebook -What a luxury it is being able to talk online with the people on the other side of the world. Helped me lots of times, but be aware, do not use this too much. It can have the opposite effect. 

Read -Also a good way to put your thoughts on something else, letting your mind focus on another story.

Anyway thats what I do when I feel a bit down, hope it can help you out!