i don't quite know why but this has also happend to me before. When i connected my tamagotchis, my tama liked the other tama more than the other tama liked mine. I think this has to do with age difference or something or it could also be because the other tama treated my tama more nicely (with the presents and) than my tama did to the other. However, as time passed, the two tamagotchis grew to likign each other the same much so don't worry. goodluck with ur tama!
sry if im confusing. . i have a tendency to do that. . .
thats happened to me before too, I beat my friends tama in alot of game and mine never gave hers presents so it didn't really like mine but mine liked hers. Try this: When you are both on the 'Stand By' screen get your friend to push the B button to connect. That way they will either get a present or play a game.