Let [Formula: see text] be a group with identity and [Formula: see text] be a [Formula: see text]-graded commutative ring with nonzero identity. A proper graded ideal [Formula: see text] of [Formula: see text] is called a graded 1-absorbing prime ideal (respectively, graded 1-absorbing primary ideal) if whenever nonunit homogeneous elements [Formula: see text] with [Formula: see text], then [Formula: see text] or [Formula: see text] (respectively, [Formula: see text] or [Formula: see text], where [Formula: see text] is the graded radical of [Formula: see text]). The purpose of this paper is to study the transfer of some graded 1-absorbing-like properties to the graded amalgamated algebra along an ideal (denoted by [Formula: see text]). Our results provide new techniques for the construction of new original examples satisfying the above-mentioned properties.