Hazrat Asim and Hazrat Hammad both state, respectively, that Hazrat Ibn Sirin and Ibrahim, both of them, said: When you say, "Hayyak Allah" (May Allah give you life), then you should also offer Salam (greeting of peace) along with it.
Hadith Referenceمصنف ابن ابي شيبه / كتاب الأدب / 27429
Hadith Takhrij(مصنف ابن ابي شيبه: ترقيم سعد الشثري 27429، ترقيم محمد عوامة 26283)