Immigration goes back before that, the Ottoman Empire actually invited Jews to live in Palestine and gave them land.
During World War I, the British promised German Jews (Zionist movement) that they would give them land in Palestine to create Israel, their motive being to weaken their support of the German war effort. Note that Germany and the Ottomans who controlled Palestine were allies at the time. The British also promised Palestinian Arabs that they would allow them to create their own country if they defeated the Ottomans, and many Palestinian rebel groups joined the British because of this.
So the British promised Palestine to European Jews and to the Arab Palestinians during World War I, but didn't uphold either promise and instead kept the land for themselves.
Yeah, funny how that stuff works out. After WW2 they weren't even going to original give the jews palestine. They wanted to give them Ethiopia at first. Or some other african country I forget which. Really the arabs should be made at the british not the jews.