話し掛ける
はなしかける · hanashikakeru · JLPT N2 · verb-ichidan
to talk
話し掛ける = talk (話す) + hang on (掛ける): hang your talk onto someone
話す means talk and 掛ける means hang or put on. Together they mean to start talking at someone, often unexpectedly, like hanging a conversation onto them.