Finalllllyyyy I found something on this.
The term "שתלתם ניגונים " I found mention of in lyrics of a Fania Bergstein song:
שְׁתַלְתֶּם נִגּוּנִים בִּי אִמִּי וְאָבִי
נִגּוּנִים מִזְמוֹרִים שְׁכוּחִים
גַּרְעִינִים גַּרְעִינִים נְשָׂאָם לְבָבִי
עַתָּה הֵם עוֹלִים וְצוֹמְחִים
עַתָּה הֵם שׁוֹלְחִים פֹּארוֹת בְּדָמִי
שָׁרְשֵׁיהֶם בְּעוֹרְקָי שְׁלוּבִים
נִגּוּנֶיךָ אָבִי וְשִׁירַיִךְ אִמִּי
בְּדָפְקִי נֵעוֹרִים וְשָׁבִים

הִנֵּה אַאֲזִין שִׁיר עַרְשִׂי הָרָחוֹק
הִבִּיעַ פִּי אֵם אֱלֵי בַּת
הִנֵּה לִי תַזְהֵרְנָה בְּדֶמַע וּצְחוֹק
אֵיכָה וּזְמִירוֹת שֶׁל שַׁבָּת
כָּל הֶגֶה יִתַּם וְכָל צְלִיל יֵאָלֵם
בִּי קוֹלְכֶם הָרָחוֹק כִּי יֵהוֹם
עֵינַי אֶעֱצֹם וַהֲרֵינִי אִתְּכֶם
מֵעַל לְחֶשְׁכַת הַתְּהוֹם

I eventually found this translation:
Melodies (NIGUNIM)

You planted melodies within me,
My mother and my father,
Melodies and forgotten psalms.
Seeds, seeds that my heart has carried
Are shooting up and growing again.
Their branches are sprouting through my blood,
Their roots are entwined in my veins,
My father’s melodies and my mother’s songs
Are awakening and returning in my heartbeats.
I can hear the old faraway lullaby
That a mother sang to her daughter.
“Eicha” and Shabbat zemirot
Will shine out in laughter and tears.
No words are heard, every notes silenced
When your distant voices echo within me.
I close my eyes and stand beside you
In the darkness over the depths.

It's the only translation I've been able to find with which to base a translation of the phrase in your context. Whilst it seems not to make much sense on its own (without knowing the origin/source of the phrase), once this became known, it sounds quite poetic even in English.

Hope this helps anyway. Poetry was never my forte.